## Guba, Victor S.

Compute Distance To:
 Author ID: guba.victor-s Published as: Guba, V. S.; Guba, Victor; Guba, Victor S.
 Documents Indexed: 38 Publications since 1986, including 1 Book 1 Further Contribution Co-Authors: 47 Co-Authors with 18 Joint Publications 1,827 Co-Co-Authors
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### Co-Authors

 21 single-authored 10 Sapir, Mark Valentinovich 4 Arzhantseva, Goulnara N. 3 Atabekyan, Varuzhan S. 2 Beklemishev, Lev D. 2 Lysenok, Igor’ Geront’evich 2 Pride, Stephen James 2 Razborov, Aleksandr Aleksandrovich 2 Semënov, Alekseĭ L’vovich 1 Andreev, K. K. 1 Artamonov, Vyacheslav Aleksandrovich 1 Balaba, Irina Nikolaevna 1 Bezverkhniĭ, N. V. 1 Bukhshtaber, Viktor Matveevich 1 Burillo, José 1 Chubarikov, Vladimir Nikolaevich 1 Chubarov, Igor A. 1 Deryabina, G. S. 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Ershov, Yuriĭ Leonidovich 1 Goncharov, Sergeĭ Savost’yanovich 1 Guterman, Alexander Èmilevich 1 Guyot, Luc 1 Kanunnikov, Andrei L. 1 Klyachko, Anton Aleksandrovich 1 Kozlov, Valeriĭ Vasil’evich 1 Kulikova, O. V. 1 Lustig, Martin 1 Markova, Olga V. 1 Mikaelyan, V. H. 1 Mikhaĭlovskiĭ, K. V. 1 Mikhalëv, Aleksandr Vasil’evich 1 Milenteva, Maria V. 1 Minasyan, A. È. 1 Novikov, Sergeĭ Petrovich 1 Osipov, Yuriĭ Sergeevich 1 Pentus, Mati 1 Podol’skiĭ, Vladimir Vladimirovich 1 Préaux, Jean-Philippe 1 Prokhorov, Yuriĭ Gennad’evich 1 Sadovnichiĭ, Viktor Antonovich 1 Shevrin, Lev Naumovich 1 Shirshova, Elena Evgen’evna 1 Talambutsa, A. L. 1 Timashev, Dmitri A. 1 Treshchev, Dmitriĭ Valer’evich 1 Vdovina, Alina A. 1 Volkov, Mikhail Vladimirovich 1 Zaĭtsev, Mikhail Vladimirovich
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### Serials

 6 International Journal of Algebra and Computation 3 Mathematical Notes 3 Journal of Pure and Applied Algebra 3 Siberian Mathematical Journal 2 Communications in Algebra 2 Russian Mathematical Surveys 2 Journal of Group Theory 1 Matematicheskie Zametki 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Mathematics of the USSR. Izvestiya 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 Soviet Mathematics 1 Journal of the Australian Mathematical Society. Series A 1 Annales Mathématiques Blaise Pascal 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Chebyshevskiĭ Sbornik 1 Springer Monographs in Mathematics
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### Fields

 35 Group theory and generalizations (20-XX) 10 Combinatorics (05-XX) 8 Manifolds and cell complexes (57-XX) 5 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 328 times in 225 Documents Cited by Year
Diagram groups. Zbl 0930.20033
Guba, Victor; Sapir, Mark
1997
Equivalence of infinite systems of equations in free groups and semigroups to finite subsystems. Zbl 0611.20020
Guba, V. S.
1986
Metrics on diagram groups and uniform embeddings in a Hilbert space. Zbl 1166.20031
Arzhantseva, G. N.; Guba, V. S.; Sapir, M. V.
2006
On subgroups of R. Thompson’s group $$F$$ and other diagram groups. Zbl 1095.20021
Guba, V. S.; Sapir, M. V.
1999
Diagram groups and directed 2-complexes: homotopy and homology. Zbl 1163.20027
Guba, V. S.; Sapir, M. V.
2006
Combinatorial algebra: syntax and semantics. With contributions by Victor S. Guba and Mikhail V. Volkov. Zbl 1319.05001
Sapir, Mark V.
2014
The Dehn function of Richard Thompson’s group $$F$$ is quadratic. Zbl 1166.20024
Guba, V. S.
2006
On the properties of the Cayley graph of Richard Thompson’s group $$F$$. Zbl 1088.20021
Guba, V. S.
2004
On the conjugacy growth functions of groups. Zbl 1234.20041
Guba, Victor; Sapir, Mark
2010
On the left and right cohomological dimension of monoids. Zbl 0934.20049
Guba, V. S.; Pride, S. J.
1998
The word problem for the relatively free semigroup satisfying $$T^ m=T^{m+n}$$ with $$m\geq 4$$ or $$m=3$$, $$n=1$$. Zbl 0783.20034
Guba, V. S.
1993
The word problem for the relatively free semigroup satisfying $$T^ m=T^{m+n}$$ with $$m\geq 3$$. Zbl 0818.20070
Guba, V. S.
1993
The Dehn function and a regular set of normal forms for R. Thompson’s group $$F$$. Zbl 0899.20013
Guba, V. S.; Sapir, M. V.
1997
Diagram groups are totally orderable. Zbl 1093.20023
Guba, V. S.; Sapir, M. V.
2006
On Dehn functions of free products of groups. Zbl 0942.20023
Guba, V. S.; Sapir, M. V.
1999
Rigidity properties of diagram groups. Zbl 1031.20037
Guba, V. S.; Sapir, M. V.
2002
A finitely generated simple group with free 2-generated subgroups. Zbl 0616.20013
Guba, V. S.
1986
Polynomial upper bounds for the Dehn function of R. Thompson’s group $$F$$. Zbl 0907.20037
Guba, V. S.
1998
Testing Cayley graph densities. (Tester les densités de graphes de Cayley.) Zbl 1191.20025
Arzhantseva, Goulnara N.; Guba, Victor S.; Lustig, Martin; Préaux, Jean-Philippe
2008
Conditions under which 2-generated subgroups in groups with small cancellation are free. Zbl 0614.20022
Guba, V. S.
1986
Equivalence of infinite systems of equations in free groups and semigroups to finite subsystems. Zbl 0621.20009
Guba, V. S.
1986
Growth rates of ameable groups. Zbl 1078.20030
Arzhantseva, G. N.; Guba, V. S.; Guyot, L.
2005
On the relationship between the word problem and the divisibility problem for semigroups with one defining relation. Zbl 0934.20037
Guba, V. S.
1997
A finitely generated complete group. Zbl 0631.20025
Guba, V. S.
1987
Associative algebras with one Engel-type relation. Zbl 0941.16015
Guba, V. S.
1997
Strict dead-end elements in free soluble groups. Zbl 1156.20035
Guba, Victor
2008
Polynomial isoperimetric inequalities for Richard Thompson’s groups $$F$$, $$T$$, and $$V$$. Zbl 1044.20504
Guba, V. S.
2000
Low-dimensional (co)homology of free Burnside monoids. Zbl 0852.20060
Guba, V. S.; Pride, S. J.
1996
Growth of positive words and lower bounds of the growth rate for Thompson’s groups $$F(p)$$. Zbl 1404.20031
Burillo, José; Guba, Victor
2017
Conditions for embeddability of semigroups in groups. Zbl 0839.20071
Guba, V. S.
1994
Growth of positive words and lower bounds of the growth rate for Thompson’s groups $$F(p)$$. Zbl 1404.20031
Burillo, José; Guba, Victor
2017
Combinatorial algebra: syntax and semantics. With contributions by Victor S. Guba and Mikhail V. Volkov. Zbl 1319.05001
Sapir, Mark V.
2014
On the conjugacy growth functions of groups. Zbl 1234.20041
Guba, Victor; Sapir, Mark
2010
Testing Cayley graph densities. (Tester les densités de graphes de Cayley.) Zbl 1191.20025
Arzhantseva, Goulnara N.; Guba, Victor S.; Lustig, Martin; Préaux, Jean-Philippe
2008
Strict dead-end elements in free soluble groups. Zbl 1156.20035
Guba, Victor
2008
Metrics on diagram groups and uniform embeddings in a Hilbert space. Zbl 1166.20031
Arzhantseva, G. N.; Guba, V. S.; Sapir, M. V.
2006
Diagram groups and directed 2-complexes: homotopy and homology. Zbl 1163.20027
Guba, V. S.; Sapir, M. V.
2006
The Dehn function of Richard Thompson’s group $$F$$ is quadratic. Zbl 1166.20024
Guba, V. S.
2006
Diagram groups are totally orderable. Zbl 1093.20023
Guba, V. S.; Sapir, M. V.
2006
Growth rates of ameable groups. Zbl 1078.20030
Arzhantseva, G. N.; Guba, V. S.; Guyot, L.
2005
On the properties of the Cayley graph of Richard Thompson’s group $$F$$. Zbl 1088.20021
Guba, V. S.
2004
Rigidity properties of diagram groups. Zbl 1031.20037
Guba, V. S.; Sapir, M. V.
2002
Polynomial isoperimetric inequalities for Richard Thompson’s groups $$F$$, $$T$$, and $$V$$. Zbl 1044.20504
Guba, V. S.
2000
On subgroups of R. Thompson’s group $$F$$ and other diagram groups. Zbl 1095.20021
Guba, V. S.; Sapir, M. V.
1999
On Dehn functions of free products of groups. Zbl 0942.20023
Guba, V. S.; Sapir, M. V.
1999
On the left and right cohomological dimension of monoids. Zbl 0934.20049
Guba, V. S.; Pride, S. J.
1998
Polynomial upper bounds for the Dehn function of R. Thompson’s group $$F$$. Zbl 0907.20037
Guba, V. S.
1998
Diagram groups. Zbl 0930.20033
Guba, Victor; Sapir, Mark
1997
The Dehn function and a regular set of normal forms for R. Thompson’s group $$F$$. Zbl 0899.20013
Guba, V. S.; Sapir, M. V.
1997
On the relationship between the word problem and the divisibility problem for semigroups with one defining relation. Zbl 0934.20037
Guba, V. S.
1997
Associative algebras with one Engel-type relation. Zbl 0941.16015
Guba, V. S.
1997
Low-dimensional (co)homology of free Burnside monoids. Zbl 0852.20060
Guba, V. S.; Pride, S. J.
1996
Conditions for embeddability of semigroups in groups. Zbl 0839.20071
Guba, V. S.
1994
The word problem for the relatively free semigroup satisfying $$T^ m=T^{m+n}$$ with $$m\geq 4$$ or $$m=3$$, $$n=1$$. Zbl 0783.20034
Guba, V. S.
1993
The word problem for the relatively free semigroup satisfying $$T^ m=T^{m+n}$$ with $$m\geq 3$$. Zbl 0818.20070
Guba, V. S.
1993
A finitely generated complete group. Zbl 0631.20025
Guba, V. S.
1987
Equivalence of infinite systems of equations in free groups and semigroups to finite subsystems. Zbl 0611.20020
Guba, V. S.
1986
A finitely generated simple group with free 2-generated subgroups. Zbl 0616.20013
Guba, V. S.
1986
Conditions under which 2-generated subgroups in groups with small cancellation are free. Zbl 0614.20022
Guba, V. S.
1986
Equivalence of infinite systems of equations in free groups and semigroups to finite subsystems. Zbl 0621.20009
Guba, V. S.
1986
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### Cited by 229 Authors

 13 Guba, Victor S. 12 Sapir, Mark Valentinovich 9 Karhumaki, Juhani 8 Gray, Robert D. 8 Myasnikov, Alexei G. 7 Burillo, José 7 Cleary, Sean 7 Taback, Jennifer 6 Elder, Murray J. 6 Genevois, Anthony 6 Kobayashi, Yuji 6 Matucci, Francesco 6 Ol’shanskiĭ, Aleksandr Yur’evich 6 Saarela, Aleksi 5 Golan, Gili 5 Hermiller, Susan M. 5 Pride, Stephen James 4 Arzhantseva, Goulnara N. 4 Cox, Charles Garnet 4 Kharlampovich, Olga G. 4 Osin, Denis V. 4 Stein, Melanie I. 3 Belk, James M. 3 Bleak, Collin 3 Corson, Samuel M. 3 de Cornulier, Yves 3 Harju, Tero 3 Kambites, Mark 3 Kazachkov, Ilya V. 3 Malheiro, António 3 Nowotka, Dirk 3 Otto, Friedrich 3 Rechnitzer, Andrew Daniel 3 Remeslennikov, Vladimir Nikanorovich 3 Šunić, Zoran 2 Austin, Tim D. 2 Birget, Jean-Camille 2 Brin, Matthew G. 2 Casals-Ruiz, Montserrat 2 Choffrut, Christian 2 Ciobanu, Laura 2 Dikranjan, Dikran N. 2 do Lago, Alair Pereira 2 Dreesen, Dennis 2 Evetts, Alex 2 Farley, Daniel Scott 2 Forrest, Bradley 2 Funar, Louis 2 Holub, Štěpán 2 Hruska, G. Christopher 2 Kim, Sang-Hyun 2 Lustig, Martin 2 Margolis, Stuart W. 2 Mironov, Alekseĭ Nikolaevich 2 Naor, Assaf 2 Peres, Yuval 2 Plandowski, Wojciech 2 Plyushchenko, Andrey N. 2 Rhodes, John Lewis 2 Sale, Andrew W. 2 Short, Hamish 2 Stalder, Yves 2 Steinberg, Benjamin 2 Tessera, Romain 2 Toller, Daniele 2 Valette, Alain 2 Ventura Capell, Enric 2 Whiteland, Markus A. 2 Zhegalov, Valentin Ivanovich 1 Almeida, Jorge 1 Antolín, Yago 1 Ayik, Hayrullah 1 Baumslag, Gilbert 1 Benjamini, Itai 1 Bezverkhniĭ, Vladimir Nikolaevich 1 Bowman, Hannah 1 Brady, Noel 1 Breuillard, Emmanuel 1 Brieussel, Jérémie 1 Brittenham, Mark 1 Brodsky, N. B. 1 Brough, Tara 1 Bumagin, Inna 1 Burness, Timothy C. 1 Cain, Alan J. 1 Campbell, Colin Matthew 1 Campbell, S. J. 1 Cangul, Ismail Naci 1 Capraro, Valerio 1 Carbone, Alessandra 1 Cave, Chris 1 Çevik, Ahmet Sinan 1 Chen, Xiaoman 1 Conner, Gregory R. 1 Corwin, Nathan 1 Crisp, John D. C. 1 Cruickshank, D. A. 1 Dandan, Yang 1 Daniyarova, Evelina Yur’Evna 1 Davis, Tara Colleen ...and 129 more Authors
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### Cited in 78 Serials

 28 Journal of Algebra 24 International Journal of Algebra and Computation 12 Transactions of the American Mathematical Society 11 Groups, Geometry, and Dynamics 10 Journal of Pure and Applied Algebra 8 Geometriae Dedicata 8 Theoretical Computer Science 7 Semigroup Forum 5 Proceedings of the American Mathematical Society 4 Geometry & Topology 4 Algebraic & Geometric Topology 3 Communications in Algebra 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Illinois Journal of Mathematics 3 Topology and its Applications 3 Journal of Group Theory 3 Annals of Mathematics. Second Series 3 Differential Equations 2 Archiv der Mathematik 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 European Journal of Combinatorics 2 Ergodic Theory and Dynamical Systems 2 Information and Computation 2 International Journal of Foundations of Computer Science 2 Experimental Mathematics 2 Annales Mathématiques Blaise Pascal 2 Bulletin of Mathematical Sciences 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Algebra and Logic 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Computing 1 Siberian Mathematical Journal 1 Studia Logica 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Expositiones Mathematicae 1 Russian Mathematics 1 Computational Complexity 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Mathematical Logic Quarterly (MLQ) 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series 1 RAIRO. Theoretical Informatics and Applications 1 Journal of Dynamical and Control Systems 1 Journal of Algebra and its Applications 1 Fixed Point Theory and Applications 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Topology and Analysis 1 Groups, Complexity, Cryptology 1 Carpathian Mathematical Publications
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### Cited in 30 Fields

 189 Group theory and generalizations (20-XX) 38 Computer science (68-XX) 29 Combinatorics (05-XX) 28 Manifolds and cell complexes (57-XX) 17 Abstract harmonic analysis (43-XX) 16 Mathematical logic and foundations (03-XX) 9 Topological groups, Lie groups (22-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Functional analysis (46-XX) 7 Probability theory and stochastic processes (60-XX) 6 General algebraic systems (08-XX) 6 Algebraic geometry (14-XX) 6 Category theory; homological algebra (18-XX) 6 General topology (54-XX) 5 Number theory (11-XX) 5 Associative rings and algebras (16-XX) 5 Differential geometry (53-XX) 4 Convex and discrete geometry (52-XX) 3 Geometry (51-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)