Edit Profile (opens in new tab) Myasnikov, Alexei G. Compute Distance To: Compute Author ID: myasnikov.alexei-g Published as: Myasnikov, Alexei; Myasnikov, A. G.; Myasnikov, Alexei G.; Miasnikov, Alexei; Myasnikov, A.; Myasnikov, Alexei Georgievich; Myasnikov, Aleksei G.; Miasnikov, Alexei G.; Miasnikov, A. G. more...less Homepage: http://web.stevens.edu/algebraic/alexeim/home.php External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 205 Publications since 1981, including 5 Books 5 Contributions as Editor · 1 Further Contribution Co-Authors: 102 Co-Authors with 200 Joint Publications 2,775 Co-Co-Authors all top 5 Co-Authors 9 single-authored 48 Remeslennikov, Vladimir Nikanorovich 41 Kharlampovich, Olga G. 18 Ushakov, Alexander S. 17 Shpilrain, Vladimir 12 Fine, Benjamin L. 12 Rosenberger, Gerhard 11 Serbin, Denis E. 9 Daniyarova, Evelina Yur’Evna 9 Roman’kov, Vitaly Anatol’evich 8 Baumslag, Gilbert 8 Borovik, Alexandre V. 8 Diekert, Volker 8 Gaglione, Anthony M. 8 Gilman, Robert H. 8 Sohrabi, Mahmood 8 Spellman, Dennis 8 Weiß, Armin 7 Romanovskii, N. S. 6 Kapovich, Ilya 6 Miasnikov, Alexei D. 5 Ovchinnikov, Denis 4 Garreta, Albert 4 Lysenok, Igor’ Geront’evich 4 Vassileva, Svetla 4 Weil, Pascal 3 Haralick, Robert M. 3 Kvaschuk, Alexei V. 3 Schupp, Paul E. 2 Bassino, Frédérique 2 Duncan, Andrew J. 2 Frenkel, Edward V. 2 Grecianu, Andrei-Paul 2 große Rebel, Volkmar 2 Jain, Sanjay 2 Khoussainov, Bakhadyr M. 2 Lohrey, Markus 2 MacDonald, Jeremy 2 Nicaud, Cyril 2 Osin, Denis V. 2 Rivin, Igor 2 Stephan, Frank 2 Won, Dong Wook 1 Amaglobeli, Mikhail Georgievich 1 Ashaev, Igor Viktorovich 1 Bakulin, Sergey 1 Bartholdi, Laurent 1 Belyaev, V. Ya. 1 Bencsáth, Katalin A. 1 Bogopolski, Oleg 1 Bokut, Leonid A. 1 Bormotov, Dimitri 1 Bumagin, Inna 1 Cleary, Sean 1 Daniyarova, E. Y. U. 1 Frenkel, Elizaveta 1 Gildenhuys, Dion 1 Golod, Evgeniĭ Solomonovich 1 Grigorchuk, Rostislav Ivanovich 1 Gul, Funda 1 Gurevich, Yuri 1 Hamkins, Joel David 1 Kac, Victor G. 1 Kemer, Aleksandr Robertovich 1 Khalampovich, Olga 1 Khan, Bilal 1 Kharchenko, Vladislav K. 1 Khukhro, Evgeniĭ I. 1 Kolesnikov, Pavel Sergeevich 1 Kreuzer, Martin 1 Kutateladze, Semën Samsonovich 1 Kyrychenko, Volodymyr Vasyl’ovych 1 Latyshev, Viktor Nikolaevich 1 Legarreta, Leire 1 Lioutikov, Serguei 1 Lioutikova, Ekaterina 1 López, Laura 1 Lubotzky, Alexander 1 Mal’tsev, Yuriĭ Nikolaevich 1 Margulis, Grigoriĭ Aleksandrovich 1 Mikhalëv, Aleksandr Vasil’evich 1 Mosina, Natalia 1 Novikov, Sergeĭ Petrovich 1 Oger, Francis 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Parshin, Alexei N. 1 Platonov, Vladimir Petrovich 1 Reshetnyak, Yuriĭ Grigor’evich 1 Röhl, Frank 1 Rybalov, Aleksandr Nikolaevich 1 Sapir, Mark Valentinovich 1 Savchuk, Dmytro M. 1 Shestakov, Ivan Pavlovich 1 Shevrin, Lev Naumovich 1 Shumyatsky, Pavel 1 Sklinos, Rizos 1 Šunić, Zoran 1 Taam, Alexander 1 Taimanov, Iskander Asanovich 1 Touikan, Nicholas W. M. 1 Ventura Capell, Enric ...and 4 more Co-Authors all top 5 Serials 22 International Journal of Algebra and Computation 21 Journal of Algebra 13 Algebra and Logic 12 Journal of Group Theory 10 Groups, Complexity, Cryptology 8 Transactions of the American Mathematical Society 7 Siberian Mathematical Journal 4 The Journal of Symbolic Logic 4 Annals of Pure and Applied Logic 4 Doklady Mathematics 4 Contemporary Mathematics 3 Communications in Algebra 3 Journal of Mathematical Sciences (New York) 3 Theory of Computing Systems 3 Groups, Geometry, and Dynamics 2 Mathematical Notes 2 Mathematics of Computation 2 Illinois Journal of Mathematics 2 Journal of Computer and System Sciences 2 Journal of Pure and Applied Algebra 2 Mathematics of the USSR. Izvestiya 2 Results in Mathematics 2 Soviet Mathematics. Doklady 2 Bulletin of Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Notre Dame Journal of Formal Logic 1 Southeast Asian Bulletin of Mathematics 1 Journal of Symbolic Computation 1 Algorithmica 1 International Journal of Foundations of Computer Science 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Experimental Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Voprosy Algebry 1 Journal of the European Mathematical Society (JEMS) 1 Lobachevskii Journal of Mathematics 1 De Gruyter Expositions in Mathematics 1 Mathematical Surveys and Monographs 1 Proceedings of the Steklov Institute of Mathematics 1 Scientia. Series A: Mathematical Sciences. New Series 1 Journal of Mathematical Cryptology 1 Computability 1 Advanced Courses in Mathematics – CRM Barcelona 1 Publicações Matemáticas do IMPA all top 5 Fields 182 Group theory and generalizations (20-XX) 74 Mathematical logic and foundations (03-XX) 51 Computer science (68-XX) 22 Algebraic geometry (14-XX) 18 General algebraic systems (08-XX) 11 Associative rings and algebras (16-XX) 10 Combinatorics (05-XX) 8 Information and communication theory, circuits (94-XX) 7 General and overarching topics; collections (00-XX) 7 Manifolds and cell complexes (57-XX) 6 Nonassociative rings and algebras (17-XX) 5 Probability theory and stochastic processes (60-XX) 4 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Abstract harmonic analysis (43-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic topology (55-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 174 Publications have been cited 2,114 times in 909 Documents Cited by ▼ Year ▼ Algebraic geometry over groups. I: Algebraic sets and ideal theory. Zbl 0938.20020Baumslag, Gilbert; Myasnikov, Alexei; Remeslennikov, Vladimir 144 1999 Stallings foldings and subgroups of free groups. Zbl 1001.20015Kapovich, Ilya; Myasnikov, Alexei 113 2002 Elementary theory of free non-abelian groups. Zbl 1110.03020Kharlampovich, Olga; Myasnikov, Alexei 103 2006 Generic-case complexity, decision problems in group theory, and random walks. Zbl 1041.20021Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir 95 2003 Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups. Zbl 0904.20017Kharlampovich, O.; Myasnikov, A. 94 1998 Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz. Zbl 0904.20016Kharlampovich, O.; Myasnikov, A. 86 1998 Algebraic geometry over groups. II: Logical foundations. Zbl 0970.20017Myasnikov, Alexei; Remeslennikov, Vladimir 75 2000 Exponential groups. II: Extensions of centralizers and tensor completion of CSA-groups. Zbl 0866.20014Myasnikov, A. G.; Remeslennikov, V. N. 52 1996 Hyperbolic groups and free constructions. Zbl 0902.20018Kharlampovich, O.; Myasnikov, A. 41 1998 Algebraic geometry over algebraic structures. II: Foundations. Zbl 1256.03037Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 41 2012 Unification theorems in algebraic geometry. Zbl 1330.08003Daniyarova, E.; Myasnikov, A.; Remeslennikov, V. 40 2008 Group-based cryptography. Zbl 1248.94004Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander 39 2008 Algebraic geometry over algebraic structures. III: Equationally Noetherian property and compactness. Zbl 1240.08002Daniyarova, E.; Remeslennikov, V.; Myasnikov, A. 36 2011 Average-case complexity and decision problems in group theory. Zbl 1065.20044Kapovich, Ilya; Myasnikov, Alexei; Schupp, Paul; Shpilrain, Vladimir 32 2005 Non-commutative cryptography and complexity of group-theoretic problems. With an appendix by Natalia Mosina. Zbl 1248.94006Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander 31 2011 Implicit function theorem over free groups. Zbl 1094.20016Kharlampovich, Olga; Myasnikov, Alexei 29 2005 Krull dimension of solvable groups. Zbl 1234.20052Myasnikov, A.; Romanovskiy, N. 27 2010 Foldings, graphs of groups and the membership problem. Zbl 1089.20018Kapovich, Ilya; Weidmann, Richard; Myasnikov, Alexei 26 2005 Algebraic geometry over algebraic structures. IV: Equational domains and codomains. Zbl 1245.08005Daniyarova, É. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 26 2011 From automatic structures to automatic groups. Zbl 1322.20025Kharlampovich, Olga; Khoussainov, Bakhadyr; Miasnikov, Alexei 23 2014 Discriminating groups and c-dimension. Zbl 1045.20026Myasnikov, Alexei; Shumyatsky, Pavel 22 2004 Two theorems about equationally Noetherian groups. Zbl 0888.20017Baumslag, Gilbert; Myasnikov, Alexei; Roman’kov, Vitaly 22 1997 Generic complexity of undecidable problems. Zbl 1140.03025Myasnikov, Alexei G.; Rybalov, Alexander N. 22 2008 The halting problem is decidable on a set of asymptotic probability one. Zbl 1137.03024Hamkins, Joel David; Miasnikov, Alexei 21 2006 The word and geodesic problems in free solvable groups. Zbl 1207.20026Myasnikov, A.; Roman’kov, V.; Ushakov, A.; Vershik, A. 21 2010 Tarski’s problem about the elementary theory of free groups has a positive solution. Zbl 0923.20016Kharlampovich, Olga; Myasnikov, Alexei 20 1998 Discriminating completions of hyperbolic groups. Zbl 1011.20041Baumslag, Gilbert; Myasnikov, Alexei; Remeslennikov, Vladimir 19 2002 Multiplicative measures on free groups. Zbl 1061.20066Borovik, Alexandre V.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 18 2003 Groups with exponents. I: Fundamentals of the theory and tensor completions. Zbl 0851.20050Myasnikov, A. G.; Remeslennikov, V. N. 18 1994 A classification of fully residually free groups of rank three or less. Zbl 0899.20009Fine, Benjamin; Gaglione, Anthony M.; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis 18 1998 Automorphic orbits in free groups. Zbl 1035.20019Myasnikov, Alexei G.; Shpilrain, Vladimir 18 2003 Algorithmically complex residually finite groups. Zbl 1423.20022Kharlampovich, Olga; Myasnikov, Alexei; Sapir, Mark 18 2017 Open problems in combinatorial group theory. Second edition. Zbl 1065.20042Baumslag, Gilbert; Myasnikov, Alexei G.; Shpilrain, Vladimir 17 2002 Algebraic extensions in free groups. Zbl 1160.20022Miasnikov, Alexei; Ventura, Enric; Weil, Pascal 17 2007 The isomorphism problem for finitely generated fully residually free groups. Zbl 1121.20026Bumagin, Inna; Kharlampovich, Olga; Miasnikov, Alexei 16 2007 Definable sets in a hyperbolic group. Zbl 1282.20021Kharlampovich, Olga; Myasnikov, Alexei 16 2013 Subgroups of fully residually free groups: algorithmic problems. Zbl 1103.20029Kharlampovich, Olga G.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N.; Serbin, Denis E. 14 2004 CSA-groups and separated free constructions. Zbl 0838.20025Gildenhuys, D.; Kharlampovich, O.; Myasnikov, A. 14 1995 Knapsack problems in groups. Zbl 1392.68207Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander 14 2015 A linear decomposition attack. Zbl 1350.94046Myasnikov, Alexei; Roman’kov, Vitaliĭ 14 2015 Verbally closed subgroups of free groups. Zbl 1338.20043Myasnikov, Alexei G.; Roman’kov, Vitaly 13 2014 Effective JSJ decompositions. Zbl 1093.20019Kharlampovich, Olga; Myasnikov, Alexei G. 13 2005 The word problem in the Baumslag group with a non-elementary Dehn function is polynomial time decidable. Zbl 1248.20038Myasnikov, Alexei; Ushakov, Alexander; Won, Dong Wook 13 2011 Description of fully residually free groups and irreducible affine varieties over a free group. Zbl 0922.20027Kharlampovich, O.; Myasnikov, A. 13 1999 Malnormality is decidable in free groups. Zbl 0949.20024Baumslag, Gilbert; Myasnikov, Alexei; Remeslennikov, Vladimir 13 1999 Random subgroups and analysis of the length-based and quotient attacks. Zbl 1195.94067Myasnikov, Alexei G.; Ushakov, Alexander 13 2008 Algebraic geometry over algebraic structures. V: The case of arbitrary signature. Zbl 1255.08001Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 12 2012 Definable invariants of bilinear mappings. Zbl 0763.03020Myasnikov, A. G. 11 1990 On rationality of verbal subsets in a group. Zbl 1276.68113Myasnikov, A.; Roman’kov, V. 11 2013 Algorithmically finite groups. Zbl 1233.20031Myasnikov, Alexei; Osin, Denis 10 2011 Random subgroups of braid groups: An approach to cryptanalysis of a braid group based cryptographic protocol. Zbl 1151.94554Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander 10 2006 A practical attack on a braid group based cryptographic protocol. Zbl 1145.94448Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander 10 2005 Measuring sets in infinite groups. Zbl 1022.20010Borovik, Alexandre V.; Myasnikov, Alexei G.; Shpilrain, Vladimir 10 2002 Logical aspects of the theory of divisible rigid groups. Zbl 1319.20032Myasnikov, A. G.; Romanovskii, N. S. 10 2014 Random nilpotent groups, polycyclic presentations, and Diophantine problems. Zbl 1378.20049Garreta, Albert; Miasnikov, Alexei; Ovchinnikov, Denis 10 2017 Finitely presented expansions of groups, semigroups, and algebras. Zbl 1349.03045Khoussainov, Bakhadyr; Miasnikov, Alexei 9 2014 Regular free length functions on Lyndon’s free \(\mathbb{Z}[t]\)-group \(F^{\mathbb{Z}[t]}\). Zbl 1137.20026Myasnikov, Alexei G.; Remeslennikov, Vladimir N.; Serbin, Denis E. 9 2005 Fully residually free groups and graphs labeled by infinite words. Zbl 1106.20027Myasnikov, Alexei G.; Remeslennikov, Vladimir N.; Serbin, Denis E. 9 2006 Stallings graphs for quasi-convex subgroups. Zbl 1490.05110Kharlampovich, Olga; Miasnikov, Alexei; Weil, Pascal 9 2017 Universal theories for rigid soluble groups. Zbl 1263.20034Myasnikov, A. G.; Romanovskiĭ, N. S. 9 2012 Exponentially generic subsets of groups. Zbl 1243.20045Gilman, Robert; Miasnikov, Alexei; Osin, Denis 8 2010 Discriminating and co-discriminating groups. Zbl 0965.20014Baumslag, Gilbert; Myasnikov, Alexei; Remeslennikov, Vladimir 8 2000 Limits of relatively hyperbolic groups and Lyndon’s completions. Zbl 1273.20042Kharlampovich, Olga; Myasnikov, Alexei 8 2012 The solvability problem for quadratic equations over free groups is NP-complete. Zbl 1205.68172Kharlampovich, O.; Lysënok, I. G.; Myasnikov, A. G.; Touikan, N. W. M. 8 2010 Genetic algorithms and the Andrews-Curtis conjecture. Zbl 0949.20022Miasnikov, Alexei D. 8 1999 Generic complexity of the conjugacy problem in HNN-extensions and algorithmic stratification of Miller’s groups. Zbl 1171.20016Borovik, Alexandre V.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 8 2007 Formularity of sets of Mal’tsev bases, and elementary theories of finite algebras. I. Zbl 0516.20022Myasnikov, A. G.; Remeslennikov, V. N. 8 1982 Power circuits, exponential algebra, and time complexity. Zbl 1285.03052Miasnikov, Alexei G.; Ushakov, Alexander; Won, Dong Wook 8 2012 Verbal subgroups of hyperbolic groups have infinite width. Zbl 1339.20036Myasnikov, Alexei; Nikolaev, Andrey 7 2014 The Post correspondence problem in groups. Zbl 1315.20035Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander 7 2014 Conjugacy in Baumslag’s group, generic case complexity, and division in power circuits. Zbl 1352.68102Diekert, Volker; Myasnikov, Alexei G.; Weiß, Armin 7 2014 The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander 7 2010 Universal algebraic geometry. Zbl 1264.14001Daniyarova, E. Yu.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 7 2011 Isomorphisms and elementary properties of nilpotent powered groups. Zbl 0512.20019Myasnikov, A. G.; Remeslennikov, V. N. 7 1981 On positive theories of groups with regular free length functions. Zbl 1184.20031Khan, Bilal; Myasnikov, Alexei G.; Serbin, Denis E. 7 2007 Equations and fully residually free groups. Zbl 1213.20041Kharlampovich, Olga; Myasnikov, Alexei G. 6 2010 Algebraic geometry over groups. III: Elements of model theory. Zbl 1078.20025Kvaschuk, Alexei; Myasnikov, Alexei; Remeslennikov, Vladimir 6 2005 Dimension in universal algebraic geometry. Zbl 1306.08003Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 6 2014 Open problems in combinatorial group theory. Zbl 0976.20023Baumslag, Gilbert; Myasnikov, Alexei G.; Shpilrain, Vladimir 6 1999 Cayley graph automatic groups are not necessarily Cayley graph biautomatic. Zbl 1351.20019Miasnikov, Alexei; Šunić, Zoran 6 2012 Groups with free regular length functions in \(\mathbb Z^n\). Zbl 1285.20028Kharlampovich, Olga; Myasnikov, Alexei; Remeslennikov, Vladimir; Serbin, Denis 6 2012 Quadratic equations in the Grigorchuk group. Zbl 1341.20037Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander 6 2016 Algebraic geometry over algebraic structures. VI: Geometrical equivalence. Zbl 1381.08001Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 6 2017 Actions, length functions, and non-Archimedean words. Zbl 1292.20031Kharlampovich, Olga; Myasnikov, Alexei; Serbin, Denis 6 2013 The conjucacy problem in amalgamated products. I: Regular elements and black holes. Zbl 1149.20025Borovik, Alexandre V.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 6 2007 Divisible rigid groups. II: Stability, saturation, and elementary submodels. Zbl 1485.03126Myasnikov, A. G.; Romanovskii, N. S. 6 2018 A classification of conjugately separated abelian, commutative transitive, and restricted Gromov one-relator groups. Zbl 1190.20022Fine, Benjamin; Myasnikov, Alexei; große Rebel, Volkmar; Rosenberger, Gerhard 5 2006 Random van Kampen diagrams and algorithmic problems in groups. Zbl 1284.20032Myasnikov, Alexei; Ushakov, Alexander 5 2011 Formularity of sets of Mal’tsev bases, and elementary theories of finite- dimensional algebras. II. Zbl 0531.20018Myasnikov, A. G.; Remeslennikov, V. N. 5 1983 Solving one-variable equations in free groups. Zbl 1196.20051Bormotov, Dimitri; Gilman, Robert; Myasnikov, Alexei 5 2009 Tarski-type problems for free associative algebras. Zbl 1403.03055Kharlampovich, Olga; Myasnikov, Alexei 5 2018 The complexity of verbal languages over groups. Zbl 1361.68122Jain, Sanjay; Miasnikov, Alexei; Stephan, Frank 5 2012 Non-commutative lattice problems. Zbl 1392.20028Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander 5 2016 Groups elementarily equivalent to a free 2-nilpotent group of finite rank. Zbl 1245.20038Myasnikov, A. G.; Sohrabi, M. 5 2009 Model theory and algebraic geometry in groups, non-standard actions and algorithmic problems. Zbl 1373.20057Kharlampovich, Olga; Myasnikov, Alexei 5 2014 Algebraic geometry over free groups: lifting solutions into generic points. Zbl 1093.20014Kharlampovich, Olga; Myasnikov, Alexei 4 2005 Equations in a free \(\mathbf Q\)-group. Zbl 0901.20010Kharlampovich, O.; Myasnikov, A. 4 1998 The structure of models and a decidability criterion for complete theories of finite-dimensional algebras. Zbl 0702.03014Myasnikov, A. G. 4 1990 On the Andrews-Curtis equivalence. Zbl 1010.20019Myasnikov, Alexei D.; Myasnikov, Alexei G.; Shpilrain, Vladimir 4 2002 An example of an automatic graph of intermediate growth. Zbl 1322.68125Miasnikov, Alexei; Savchuk, Dmytro 4 2015 Complexity and randomness in group theory. GAGTA book 1. Zbl 07205680Bassino, Frédérique; Kapovich, Ilya; Lohrey, Markus; Miasnikov, Alexei; Nicaud, Cyril; Nikolaev, Andrey; Rivin, Igor; Shpilrain, Vladimir; Ushakov, Alexander; Weil, Pascal 3 2020 The Diophantine problem in some metabelian groups. Zbl 07212240Kharlampovich, Olga; López, Laura; Myasnikov, Alexei 3 2020 Full rank presentations and nilpotent groups: structure, Diophantine problem, and genericity. Zbl 1471.20023Garreta, Albert; Miasnikov, Alexei; Ovchinnikov, Denis 2 2020 Diophantine problems in solvable groups. Zbl 07365332Garreta, Albert; Miasnikov, Alexei; Ovchinnikov, Denis 2 2020 Fraïssé limits of limit groups. Zbl 1485.20084Kharlampovich, Olga; Myasnikov, Alexei; Sklinos, Rizos 1 2020 Low-complexity computations for nilpotent subgroup problems. Zbl 07079848Macdonald, Jeremy; Miasnikov, Alexei; Ovchinnikov, Denis 4 2019 The conjugacy problem in free solvable groups and wreath products of abelian groups is in \(\mathsf{TC}^0\). Zbl 1453.20045Miasnikov, Alexei; Vassileva, Svetla; Weiß, Armin 3 2019 Undecidability of equations in free Lie algebras. Zbl 1486.17008Kharlampovich, Olga; Myasnikov, Alexei 2 2019 Divisible rigid groups. II: Stability, saturation, and elementary submodels. Zbl 1485.03126Myasnikov, A. G.; Romanovskii, N. S. 6 2018 Tarski-type problems for free associative algebras. Zbl 1403.03055Kharlampovich, Olga; Myasnikov, Alexei 5 2018 What does a group algebra of a free group “know” about the group? Zbl 1442.16027Kharlampovich, Olga; Myasnikov, Alexei 3 2018 Equations in algebras. Zbl 1403.16002Kharlampovich, Olga; Myasnikov, Alexei 2 2018 Characterization of finitely generated groups by types. Zbl 1483.20055Myasnikov, A. G.; Romanovskii, N. S. 2 2018 Elementary equivalence of rings with finitely generated additive groups. Zbl 06856632Myasnikov, Alexei G.; Oger, Francis; Sohrabi, Mahmood 2 2018 Undecidability of the first order theories of free noncommutative Lie algebras. Zbl 06966192Kharlampovich, Olga; Myasnikov, Alexei 1 2018 Algorithmically complex residually finite groups. Zbl 1423.20022Kharlampovich, Olga; Myasnikov, Alexei; Sapir, Mark 18 2017 Random nilpotent groups, polycyclic presentations, and Diophantine problems. Zbl 1378.20049Garreta, Albert; Miasnikov, Alexei; Ovchinnikov, Denis 10 2017 Stallings graphs for quasi-convex subgroups. Zbl 1490.05110Kharlampovich, Olga; Miasnikov, Alexei; Weil, Pascal 9 2017 Algebraic geometry over algebraic structures. VI: Geometrical equivalence. Zbl 1381.08001Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 6 2017 Universal geometrical equivalence of the algebraic structures of common signature. Zbl 1380.08001Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 3 2017 \(\mathsf{TC}^0\) circuits for algorithmic problems in nilpotent groups. Zbl 1441.68044Myasnikov, Alexei; Weiß, Armin 2 2017 Model-theoretic aspects of the theory of divisible rigid soluble groups. Zbl 1370.20033Myasnikov, A. G.; Romanovskii, N. S. 2 2017 Computational complexity and the conjugacy problem. Zbl 1378.20048Miasnikov, Alexei; Schupp, Paul 2 2017 Log-space conjugacy problem in the Grigorchuk group. Zbl 1382.20038Miasnikov, Alexei; Vassileva, Svetla 1 2017 Amenability of Schreier graphs and strongly generic algorithms for the conjugacy problem. Zbl 1371.20037Diekert, Volker; Myasnikov, Alexei G.; Weiß, Armin 1 2017 {\(\omega\)}-stability and Morley rank of bilinear maps, rings and nilpotent groups. Zbl 1420.03081Myasnikov, Alexei G.; Sohrabi, Mahmood 1 2017 Quadratic equations in the Grigorchuk group. Zbl 1341.20037Lysenok, Igor; Miasnikov, Alexei; Ushakov, Alexander 6 2016 Non-commutative lattice problems. Zbl 1392.20028Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander 5 2016 Conjugacy in Baumslag’s group, generic case complexity, and division in power circuits. Zbl 1357.68081Diekert, Volker; Myasnikov, Alexei G.; Weiß, Armin 2 2016 Generic case completeness. Zbl 1349.68099Miasnikov, Alexei; Ushakov, Alexander 1 2016 Knapsack problems in groups. Zbl 1392.68207Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander 14 2015 A linear decomposition attack. Zbl 1350.94046Myasnikov, Alexei; Roman’kov, Vitaliĭ 14 2015 An example of an automatic graph of intermediate growth. Zbl 1322.68125Miasnikov, Alexei; Savchuk, Dmytro 4 2015 Amenability of Schreier graphs and strongly generic algorithms for the conjugacy problem. Zbl 1346.20041Diekert, Volker; Myasnikov, Alexei; Weiß, Armin 4 2015 Generic theories as a method for approximating elementary theories. Zbl 1347.03066Myasnikov, A. G.; Remeslennikov, V. N. 1 2015 Groups acting on hyperbolic \(\Lambda\)-metric spaces. Zbl 1366.20027Grecianu, Andrei-Paul; Kvaschuk, Alexei V.; Myasnikov, Alexei G.; Serbin, Denis E. 1 2015 From automatic structures to automatic groups. Zbl 1322.20025Kharlampovich, Olga; Khoussainov, Bakhadyr; Miasnikov, Alexei 23 2014 Verbally closed subgroups of free groups. Zbl 1338.20043Myasnikov, Alexei G.; Roman’kov, Vitaly 13 2014 Logical aspects of the theory of divisible rigid groups. Zbl 1319.20032Myasnikov, A. G.; Romanovskii, N. S. 10 2014 Finitely presented expansions of groups, semigroups, and algebras. Zbl 1349.03045Khoussainov, Bakhadyr; Miasnikov, Alexei 9 2014 Verbal subgroups of hyperbolic groups have infinite width. Zbl 1339.20036Myasnikov, Alexei; Nikolaev, Andrey 7 2014 The Post correspondence problem in groups. Zbl 1315.20035Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander 7 2014 Conjugacy in Baumslag’s group, generic case complexity, and division in power circuits. Zbl 1352.68102Diekert, Volker; Myasnikov, Alexei G.; Weiß, Armin 7 2014 Dimension in universal algebraic geometry. Zbl 1306.08003Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 6 2014 Model theory and algebraic geometry in groups, non-standard actions and algorithmic problems. Zbl 1373.20057Kharlampovich, Olga; Myasnikov, Alexei 5 2014 The elementary theory of groups. A guide through the proofs of the Tarski conjectures. Zbl 1322.20001Fine, Benjamin; Gaglione, Anthony; Myasnikov, Alexei; Rosenberger, Gerhard; Spellman, Dennis 3 2014 Diophantine cryptography in free metabelian groups: theoretical base. Zbl 1319.20031Myasnikov, Alexei; Roman’kov, Vitalii 2 2014 Infinite words and universal free actions. Zbl 1303.20031Kharlampovich, Olga; Myasnikov, Alexei; Serbin, Denis 1 2014 Definable sets in a hyperbolic group. Zbl 1282.20021Kharlampovich, Olga; Myasnikov, Alexei 16 2013 On rationality of verbal subsets in a group. Zbl 1276.68113Myasnikov, A.; Roman’kov, V. 11 2013 Actions, length functions, and non-Archimedean words. Zbl 1292.20031Kharlampovich, Olga; Myasnikov, Alexei; Serbin, Denis 6 2013 Algebraic geometry over algebraic structures. II: Foundations. Zbl 1256.03037Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 41 2012 Algebraic geometry over algebraic structures. V: The case of arbitrary signature. Zbl 1255.08001Daniyarova, E. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 12 2012 Universal theories for rigid soluble groups. Zbl 1263.20034Myasnikov, A. G.; Romanovskiĭ, N. S. 9 2012 Limits of relatively hyperbolic groups and Lyndon’s completions. Zbl 1273.20042Kharlampovich, Olga; Myasnikov, Alexei 8 2012 Power circuits, exponential algebra, and time complexity. Zbl 1285.03052Miasnikov, Alexei G.; Ushakov, Alexander; Won, Dong Wook 8 2012 Cayley graph automatic groups are not necessarily Cayley graph biautomatic. Zbl 1351.20019Miasnikov, Alexei; Šunić, Zoran 6 2012 Groups with free regular length functions in \(\mathbb Z^n\). Zbl 1285.20028Kharlampovich, Olga; Myasnikov, Alexei; Remeslennikov, Vladimir; Serbin, Denis 6 2012 The complexity of verbal languages over groups. Zbl 1361.68122Jain, Sanjay; Miasnikov, Alexei; Stephan, Frank 5 2012 Random equations in nilpotent groups. Zbl 1283.20074Gilman, Robert H.; Myasnikov, Alexei; Roman’kov, Vitaliĭ 3 2012 Amalgamated products of groups: measures of random normal forms. Zbl 1259.20032Myasnikov, A. G.; Remeslennikov, V. N.; Frenkel, E. V. 1 2012 Cyclic rewriting and conjugacy problems. Zbl 1286.20035Diekert, Volker; Duncan, Andrew; Myasnikov, Alexei G. 1 2012 Algebraic geometry over algebraic structures. III: Equationally Noetherian property and compactness. Zbl 1240.08002Daniyarova, E.; Remeslennikov, V.; Myasnikov, A. 36 2011 Non-commutative cryptography and complexity of group-theoretic problems. With an appendix by Natalia Mosina. Zbl 1248.94006Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander 31 2011 Algebraic geometry over algebraic structures. IV: Equational domains and codomains. Zbl 1245.08005Daniyarova, É. Yu.; Myasnikov, A. G.; Remeslennikov, V. N. 26 2011 The word problem in the Baumslag group with a non-elementary Dehn function is polynomial time decidable. Zbl 1248.20038Myasnikov, Alexei; Ushakov, Alexander; Won, Dong Wook 13 2011 Algorithmically finite groups. Zbl 1233.20031Myasnikov, Alexei; Osin, Denis 10 2011 Universal algebraic geometry. Zbl 1264.14001Daniyarova, E. Yu.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 7 2011 Random van Kampen diagrams and algorithmic problems in groups. Zbl 1284.20032Myasnikov, Alexei; Ushakov, Alexander 5 2011 A polynomial bound on solutions of quadratic equations in free groups. Zbl 1297.20046Lysenok, Igor G.; Myasnikov, Alexei G. 3 2011 Random equations in free groups. Zbl 1278.20088Gilman, Robert H.; Myasnikov, Alexei; Roman’kov, Vitali 3 2011 Groups elementarily equivalent to a free nilpotent group of finite rank. Zbl 1223.03022Myasnikov, Alexei G.; Sohrabi, Mahmood 3 2011 Solving word problems in group extensions over infinite words. Zbl 1221.68178Diekert, Volker; Myasnikov, Alexei G. 1 2011 Krull dimension of solvable groups. Zbl 1234.20052Myasnikov, A.; Romanovskiy, N. 27 2010 The word and geodesic problems in free solvable groups. Zbl 1207.20026Myasnikov, A.; Roman’kov, V.; Ushakov, A.; Vershik, A. 21 2010 Exponentially generic subsets of groups. Zbl 1243.20045Gilman, Robert; Miasnikov, Alexei; Osin, Denis 8 2010 The solvability problem for quadratic equations over free groups is NP-complete. Zbl 1205.68172Kharlampovich, O.; Lysënok, I. G.; Myasnikov, A. G.; Touikan, N. W. M. 8 2010 The conjugacy problem in the Grigorchuk group is polynomial time decidable. Zbl 1250.20026Lysenok, Igor; Myasnikov, Alexei; Ushakov, Alexander 7 2010 Equations and fully residually free groups. Zbl 1213.20041Kharlampovich, Olga; Myasnikov, Alexei G. 6 2010 Regular sets and counting in free groups. Zbl 1211.20024Frenkel, Elizaveta; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 3 2010 Geodesic rewriting systems and pregroups. Zbl 1220.20022Diekert, Volker; Duncan, Andrew J.; Myasnikov, Alexei G. 2 2010 Solving one-variable equations in free groups. Zbl 1196.20051Bormotov, Dimitri; Gilman, Robert; Myasnikov, Alexei 5 2009 Groups elementarily equivalent to a free 2-nilpotent group of finite rank. Zbl 1245.20038Myasnikov, A. G.; Sohrabi, M. 5 2009 Generic subgroups of group amalgams. Zbl 1180.20018Fine, Benjamin; Myasnikov, Alexei; Rosenberger, Gerhard 4 2009 A geometric zero-one law. Zbl 1181.03037Gilman, Robert H.; Gurevich, Yuri; Miasnikov, Alexei 3 2009 Pregroups and the big powers condition. Zbl 1245.20055Kvaschuk, A. V.; Myasnikov, A. G.; Serbin, D. E. 2 2009 Unification theorems in algebraic geometry. Zbl 1330.08003Daniyarova, E.; Myasnikov, A.; Remeslennikov, V. 40 2008 Group-based cryptography. Zbl 1248.94004Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander 39 2008 Generic complexity of undecidable problems. Zbl 1140.03025Myasnikov, Alexei G.; Rybalov, Alexander N. 22 2008 Random subgroups and analysis of the length-based and quotient attacks. Zbl 1195.94067Myasnikov, Alexei G.; Ushakov, Alexander 13 2008 Equations and algorithmic problems in groups. Paper from the XXth school of algebra, Rio de Janeiro, Brazil, August 2008. (XX escola de álgebra.) Zbl 1236.20048Kharlampovich, Olga; Myasnikov, Alexei 3 2008 Exponential extensions of groups. Zbl 1135.20019Kharlampovich, Olga; Myasnikov, Alexei; Remeslennikov, Vladimir; Serbin, Denis 1 2008 Algebraic extensions in free groups. Zbl 1160.20022Miasnikov, Alexei; Ventura, Enric; Weil, Pascal 17 2007 The isomorphism problem for finitely generated fully residually free groups. Zbl 1121.20026Bumagin, Inna; Kharlampovich, Olga; Miasnikov, Alexei 16 2007 Generic complexity of the conjugacy problem in HNN-extensions and algorithmic stratification of Miller’s groups. Zbl 1171.20016Borovik, Alexandre V.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 8 2007 On positive theories of groups with regular free length functions. Zbl 1184.20031Khan, Bilal; Myasnikov, Alexei G.; Serbin, Denis E. 7 2007 The conjucacy problem in amalgamated products. I: Regular elements and black holes. Zbl 1149.20025Borovik, Alexandre V.; Myasnikov, Alexei G.; Remeslennikov, Vladimir N. 6 2007 On the surface group conjecture. Zbl 1135.20023Fine, B.; Kharlampovich, O. G.; Myasnikov, A. G.; Remeslennikov, V. N.; Rosenberger, G. 1 2007 Elementary theory of free non-abelian groups. Zbl 1110.03020Kharlampovich, Olga; Myasnikov, Alexei 103 2006 The halting problem is decidable on a set of asymptotic probability one. Zbl 1137.03024Hamkins, Joel David; Miasnikov, Alexei 21 2006 ...and 74 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 700 Authors 107 Myasnikov, Alexei G. 44 Remeslennikov, Vladimir Nikanorovich 32 Kharlampovich, Olga G. 30 Kapovich, Ilya 28 Roman’kov, Vitaly Anatol’evich 27 Romanovskii, N. S. 27 Rybalov, Aleksandr Nikolaevich 22 Ushakov, Alexander S. 16 Fine, Benjamin L. 16 Lohrey, Markus 16 Shevlyakov, Artem Nikolaevich 15 Rosenberger, Gerhard 13 Ciobanu, Laura 13 Elder, Murray J. 13 Osin, Denis V. 13 Plotkin, Boris 12 Amaglobeli, Mikhail Georgievich 12 Pinus, Aleksandr Georgievich 12 Schupp, Paul E. 12 Shpilrain, Vladimir 12 Timoshenko, Evgeniĭ Iosifovich 12 Zalesskii, Pavel 11 Diekert, Volker 11 Serbin, Denis E. 11 Ventura Capell, Enric 10 Daniyarova, Evelina Yur’Evna 10 Weil, Pascal 10 Weiß, Armin 9 Gaglione, Anthony M. 9 Puder, Doron 9 Silva, Pedro V. 9 Spellman, Dennis 8 Bridson, Martin R. 8 Kahrobaei, Delaram 8 Kazachkov, Ilya V. 8 Kochloukova, Dessislava Hristova 8 Mishchenko, Alexeĭ Aleksandrovich 8 Sklinos, Rizos 8 Touikan, Nicholas W. M. 8 Wilton, Henry John Rutley 7 Aladova, Elena V. 7 Baumslag, Gilbert 7 Groves, Daniel P. 7 Guirardel, Vincent 7 Ivanov, Sergei Vladimirovich 7 Jain, Sanjay 7 Plotkin, Eugene 7 Sohrabi, Mahmood 7 Stephan, Frank 7 Taback, Jennifer 7 Treĭer, Aleksandr Viktorovich 7 Weidmann, Richard 6 Grigorchuk, Rostislav Ivanovich 6 Khoussainov, Bakhadyr M. 6 Martino, Armando 6 Minasyan, Ashot 6 Ould Houcine, Abderezak 5 Berdinskiĭ, Dmitriĭ Aleksandrovich 5 Casals-Ruiz, Montserrat 5 Hirschfeldt, Denis Roman 5 Jockusch, Carl G. jun. 5 Kotov, Matvei 5 Lee, Donghi 5 Levitt, Gilbert 5 Lysenok, Igor’ Geront’evich 5 Mazhuga, Andrey M. 5 Savchuk, Dmytro M. 5 Steinberg, Benjamin 5 Vassileva, Svetla 5 Wise, Daniel T. 4 Bassino, Frédérique 4 Borovik, Alexandre V. 4 Bumagin, Inna 4 Chagas, Sheila C. 4 Climent, Joan-Josep 4 Dahmani, François 4 Downey, Rodney Graham 4 Dudkin, Fëdor Anatol’evich 4 Garreta, Albert 4 Gilman, Robert H. 4 Guyot, Luc 4 Louder, Larsen 4 Mashevitzky, Grigory 4 Molkhasi, Ali 4 Nicaud, Cyril 4 O Rourke, Shane 4 Ovchinnikov, Denis 4 Perin, Chloé 4 Sapir, Mark Valentinovich 4 Shum, Kar-Ping 4 Valiunas, Motiejus 4 Zetzsche, Georg 3 Afanas’eva, S. G. 3 Antolín, Yago 3 Auinger, Karl 3 Bogopolski, Oleg 3 Bokelavadze, Tengiz 3 Bou-Rabee, Khalid 3 Buturlakin, Aleksandr Aleksandrovich 3 Cavaleri, Matteo ...and 600 more Authors all top 5 Cited in 148 Serials 88 International Journal of Algebra and Computation 82 Journal of Algebra 76 Algebra and Logic 34 Groups, Complexity, Cryptology 27 Communications in Algebra 27 Prikladnaya Diskretnaya Matematika 26 Siberian Mathematical Journal 26 Transactions of the American Mathematical Society 25 Journal of Group Theory 24 Journal of Mathematical Sciences (New York) 22 Israel Journal of Mathematics 20 Groups, Geometry, and Dynamics 16 Geometry & Topology 14 The Journal of Symbolic Logic 12 Proceedings of the American Mathematical Society 12 Theoretical Computer Science 11 Geometriae Dedicata 11 Algebraic & Geometric Topology 10 Journal of Pure and Applied Algebra 10 Annals of Pure and Applied Logic 9 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 Advances in Mathematics 8 Inventiones Mathematicae 8 Mathematische Annalen 8 Applicable Algebra in Engineering, Communication and Computing 8 Theory of Computing Systems 7 Illinois Journal of Mathematics 7 Doklady Mathematics 7 Journal of Mathematical Cryptology 6 Mathematische Zeitschrift 6 Archive for Mathematical Logic 6 Lobachevskii Journal of Mathematics 5 Journal of Symbolic Computation 5 Bulletin of Mathematical Sciences 5 International Journal of Group Theory 5 Journal of Siberian Federal University. 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New Series 2 The Bulletin of Symbolic Logic 2 Sbornik: Mathematics 2 Algebra and Discrete Mathematics 2 Oberwolfach Reports 2 Chebyshevskiĭ Sbornik 2 Advances in Mathematics of Communications 2 Asian-European Journal of Mathematics 2 Computability 2 Journal of Combinatorial Algebra 1 Acta Informatica 1 Information Processing Letters 1 Rocky Mountain Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Computing 1 Demonstratio Mathematica 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Memoirs of the American Mathematical Society ...and 48 more Serials all top 5 Cited in 37 Fields 691 Group theory and generalizations (20-XX) 222 Mathematical logic and foundations (03-XX) 182 Computer science (68-XX) 79 Manifolds and cell complexes (57-XX) 66 Information and communication theory, circuits (94-XX) 61 General algebraic systems (08-XX) 58 Algebraic geometry (14-XX) 56 Combinatorics (05-XX) 33 Associative rings and algebras (16-XX) 27 Dynamical systems and ergodic theory (37-XX) 21 Nonassociative rings and algebras (17-XX) 20 Number theory (11-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 14 Topological groups, Lie groups (22-XX) 14 Probability theory and stochastic processes (60-XX) 11 Abstract harmonic analysis (43-XX) 9 Differential geometry (53-XX) 8 Commutative algebra (13-XX) 8 Operations research, mathematical programming (90-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functional analysis (46-XX) 7 Algebraic topology (55-XX) 5 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 1 \(K\)-theory (19-XX) 1 Ordinary differential equations (34-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year