Edit Profile (opens in new tab) Shumyatsky, Pavel Co-Author Distance Author ID: shumyatsky.pavel Published as: Shumyatsky, Pavel; Shumyatsky, P.; Shumyatskij, P. V.; Shumyatsky, P. V.; Shumyatskij, P. more...less External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 243 Publications since 1987, including 9 Additional arXiv Preprints Co-Authors: 66 Co-Authors with 172 Joint Publications 973 Co-Co-Authors all top 5 Co-Authors 71 single-authored 30 Khukhro, Evgeniĭ I. 28 Detomi, Eloisa 28 Morigi, Marta 24 Acciarri, Cristina 8 Tortora, Antonio 7 Tota, Maria 6 Fernández-Alcober, Gustavo A. 6 Makarenko, N. Yu. 6 Sica, Carmela 5 Guralnick, Robert Michael 4 Azevedo, João Luiz F. 4 de Araujo Bastos, Raimundo jun. 4 De Melo, Emerson 4 Kuzucuoğlu, Mahmut 3 de Souza Lima, Aline 3 Delizia, Costantino 3 Lucchini, Andrea 3 Rodrigues, Sara 3 Silva, Jhone Caldeira 3 Tamarozzi, Antonio 3 Zalesskii, Pavel 2 Caldeira, Jhone 2 Contreras-Rojas, Yerko 2 de Andrade, Agenor Freitas 2 Dierings, Gláucia 2 Figueiredo, Mateus 2 Grigorchuk, Rostislav Ivanovich 2 Kurdachenko, Leonid Andriĭovych 2 Lima, Enio N. 2 Pintonello, Matteo 2 Rocco, Noraí Romeu 2 Romano, Emanuela 2 Sanção da Silveira, Danilo 2 Sesekin, N. F. 2 Silveira, Danilo 2 Thillaisundaram, Anitha 2 Traustason, Gunnar 1 Belyaev, Vissarion V. 1 Brazil, Sergio 1 Camina, Alan R. 1 da Silva Alves, Josean 1 da Silva, Wállef 1 de Giovanni, Francesco 1 de las Heras, Iker 1 Donadze, Guram 1 Eberhard, Sean 1 Ersoy, Kıvanç 1 Franciosi, Silvana 1 Kelarev, Andrei Vladimirovich 1 Klopsch, Benjamin 1 Krasilnikov, Alexei N. 1 Longobardi, Patrizia 1 Lopes, Lucas C. 1 Maj, Mercede 1 Makarenko, Natalia 1 Monetta, Carmine 1 Muñoz-Escolano, José M. 1 Myasnikov, Alexei G. 1 Oliveira, Karise G. 1 Pellegrini, Marco Antonio 1 Riley, David Michael 1 Rogério, José Robério 1 Subbotin, Igor Yakov 1 Vannacci, Matteo 1 Wilson, Lawrence E. 1 Zapata, Theo all top 5 Serials 41 Journal of Algebra 15 Journal of Group Theory 14 Israel Journal of Mathematics 14 Monatshefte für Mathematik 12 Archiv der Mathematik 10 Communications in Algebra 10 Journal of Pure and Applied Algebra 8 The Quarterly Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Proceedings of the American Mathematical Society 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 International Journal of Algebra and Computation 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Glasgow Mathematical Journal 5 Journal of the Australian Mathematical Society 3 Algebra and Logic 3 Rendiconti del Seminario Matematico della Università di Padova 3 Forum Mathematicum 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Bulletin of Mathematical Sciences 2 Houston Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Publicationes Mathematicae Debrecen 2 Siberian Mathematical Journal 2 Transactions of the American Mathematical Society 2 Turkish Journal of Mathematics 2 Doklady Mathematics 1 Ukrainian Mathematical Journal 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Algebra i Logika 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Soviet Mathematics 1 Revista Matemática Iberoamericana 1 Algebra Colloquium 1 Matemática Contemporânea 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Communications in Contemporary Mathematics 1 Algebra and Discrete Mathematics 1 Journal of Algebra and its Applications 1 Mediterranean Journal of Mathematics 1 Matematicheskie Zapiski 1 Groups, Geometry, and Dynamics 1 Advances in Group Theory and Applications all top 5 Fields 235 Group theory and generalizations (20-XX) 20 Nonassociative rings and algebras (17-XX) 10 Topological groups, Lie groups (22-XX) 3 Associative rings and algebras (16-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 193 Publications have been cited 1,128 times in 337 Documents Cited by ▼ Year ▼ Bounding the exponent of a finite group with automorphisms. Zbl 0923.20014 Khukhro, E. I.; Shumyatsky, P. 32 1999 Nonsoluble and non-\(p\)-soluble length of finite groups. Zbl 1333.20023 Khukhro, E. I.; Shumyatsky, P. 30 2015 Applications of Lie ring methods to group theory. Zbl 0973.20027 Shumyatsky, Pavel 28 2000 Verbal subgroups in residually finite groups. Zbl 0981.20026 Shumyatsky, Pavel 27 2000 Frobenius groups of automorphisms and their fixed points. Zbl 1328.17017 Khukhro, Evgeny; Makarenko, Natalia; Shumyatsky, Pavel 24 2014 Frobenius groups as groups of automorphisms. Zbl 1214.20028 Makarenko, N. Yu.; Shumyatsky, Pavel 22 2010 Discriminating groups and c-dimension. Zbl 1045.20026 Myasnikov, Alexei; Shumyatsky, Pavel 21 2004 Derived subgroups of fixed points. Zbl 1050.20013 Guralnick, Robert; Shumyatsky, Pavel 20 2001 Fixed points of Frobenius groups of automorphisms. Zbl 1238.20038 Makarenko, N. Yu.; Khukhro, E. I.; Shumyatsky, P. 20 2011 On rational and concise words. Zbl 1346.20042 Guralnick, Robert; Shumyatsky, Pavel 19 2015 The ranks of central factor and commutator groups. Zbl 1272.20032 Kurdachenko, Leonid A.; Shumyatsky, Pavel 17 2013 Involutory automorphisms of finite groups and their centralizers. Zbl 0929.20021 Shumyatsky, Pavel 16 1998 Words and pronilpotent subgroups in profinite groups. Zbl 1310.20030 Khukhro, E. I.; Shumyatsky, P. 16 2014 Almost Engel compact groups. Zbl 1427.20048 Khukhro, E. I.; Shumyatsky, P. 16 2018 On bounded conciseness of Engel-like words in residually finite groups. Zbl 1477.20055 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 16 2019 On words that are concise in residually finite groups. Zbl 1302.20036 Acciarri, Cristina; Shumyatsky, Pavel 15 2014 Groups with boundedly finite conjugacy classes of commutators. Zbl 1401.20034 Dierings, Gláucia; Shumyatsky, Pavel 15 2018 Finite groups and the fixed points of coprime automorphisms. Zbl 0990.20015 Shumyatsky, Pavel 14 2001 Conciseness of coprime commutators in finite groups. Zbl 1295.20017 Acciarri, Cristina; Shumyatsky, Pavel; Thillaisundaram, Anitha 13 2014 On groups admitting a word whose values are Engel. Zbl 1277.20039 Bastos, Raimundo; Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 13 2013 Commutators of elements of coprime orders in finite groups. Zbl 1311.20021 Shumyatsky, Pavel 12 2015 On finite groups with automorphisms whose fixed points are Engel. Zbl 1342.20025 Shumyatsky, Pavel; Sanção da Silveira, Danilo 12 2016 On bounded conciseness of words in residually finite groups. Zbl 1427.20038 Fernández-Alcober, Gustavo A.; Shumyatsky, Pavel 12 2018 A sufficient condition for nilpotency of the commutator subgroup. Zbl 1358.20014 Bastos, R.; Shumyatsky, Pavel 12 2016 Centralizers in groups with finiteness conditions. Zbl 0909.20024 Shumyatsky, Pavel 11 1998 On groups with commutators of bounded order. Zbl 0956.20017 Shumyatsky, Pavel 11 1999 On conciseness of words in profinite groups. Zbl 1342.20032 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 11 2016 BFC-theorems for higher commutator subgroups. Zbl 1454.20070 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 11 2019 Words of Engel type are concise in residually finite groups. Zbl 1469.20030 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 11 2019 On varieties arising from the solution of the restricted Burnside problem. Zbl 1007.20025 Shumyatsky, Pavel 10 2002 On countable coverings of word values in profinite groups. Zbl 1308.20027 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 10 2015 On the exponent of a finite group with an automorphism group of order twelve. Zbl 1229.20016 Shumyatsky, Pavel 10 2011 On profinite groups in which commutators are covered by finitely many subgroups. Zbl 1311.20032 Acciarri, Cristina; Shumyatsky, Pavel 10 2013 Boundedly generated subgroups of finite groups. Zbl 1258.20026 Lucchini, Andrea; Morigi, Marta; Shumyatsky, Pavel 10 2012 Strong conciseness in profinite groups. Zbl 1528.20034 Detomi, Eloisa; Klopsch, Benjamin; Shumyatsky, Pavel 10 2020 Groups with bounded verbal conjugacy classes. Zbl 1108.20035 Brazil, Sergio; Krasilnikov, Alexei; Shumyatsky, Pavel 9 2006 A focal subgroup theorem for outer commutator words. Zbl 1282.20019 Acciarri, Cristina; Fernández-Alcober, Gustavo A.; Shumyatsky, Pavel 9 2012 On residually finite groups in which commutators are Engel. Zbl 0931.20033 Shumyatsky, Pavel 9 1999 On groups in which commutators are covered by finitely many cyclic subgroups. Zbl 1154.20031 Fernández-Alcober, Gustavo A.; Shumyatsky, Pavel 9 2008 On varieties of groups satisfying an Engel type identity. Zbl 1335.20034 Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 9 2016 On the exponent of a verbal subgroup in a finite group. Zbl 1278.20032 Shumyatsky, Pavel 9 2012 A criterion for metanilpotency of a finite group. Zbl 1402.20032 Bastos, Raimundo; Monetta, Carmine; Shumyatsky, Pavel 9 2018 Groups with regular elementary 2-groups of automorphisms. Zbl 0739.20017 Shumyatskij, P. V. 9 1988 Compact groups with countable Engel sinks. Zbl 07468889 Khukhro, E. I.; Shumyatsky, P. 9 2021 Elements of prime power order in residually finite groups. Zbl 1147.20024 Shumyatsky, Pavel 8 2005 Centralizers in locally finite groups. Zbl 1136.20036 Shumyatsky, Pavel 8 2007 On fixed points of automorphisms of Lie rings and locally finite groups. Zbl 0901.20026 Khukhro, E. I.; Shumyatskij, P. V. 8 1995 On profinite groups with Engel-like conditions. Zbl 1315.20026 Bastos, Raimundo; Shumyatsky, Pavel 8 2015 Commutators in residually finite groups. Zbl 1227.20034 Shumyatsky, Pavel 8 2011 On the length of finite groups and of fixed points. Zbl 1330.20036 Khukhro, E. I.; Shumyatsky, P. 8 2015 Finite groups with Engel sinks of bounded rank. Zbl 1480.20089 Khukhro, E. I.; Shumyatsky, P. 8 2018 On periodic solvable groups having automorphisms with nilpotent fixed point groups. Zbl 0815.20020 Shumyatsky, Pavel 7 1994 Positive laws in fixed points of automorphisms of finite groups. Zbl 1235.20024 Shumyatsky, Pavel 7 2011 Bounding the exponent of a verbal subgroup. Zbl 1306.20034 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 7 2014 On profinite groups with word values covered by nilpotent subgroups. Zbl 1498.20069 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 7 2018 Almost Engel finite and profinite groups. Zbl 1354.20024 Khukhro, E. I.; Shumyatsky, P. 7 2016 On locally graded groups with a word whose values are Engel. Zbl 1345.20052 Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 7 2016 Words of Engel type are concise in residually finite groups. II. Zbl 1511.20117 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 7 2020 Coprime automorphisms of profinite groups. Zbl 1020.20020 Shumyatsky, Pavel 6 2002 Positive laws in fixed points. Zbl 1050.20014 Shumyatsky, Pavel 6 2004 Exponent of a finite group with an involutory automorphism. Zbl 0942.20006 Shumyatsky, Pavel 6 1999 A (locally nilpotent)-by-nilpotent variety of groups. Zbl 1007.20024 Shumyatsky, Pavel 6 2002 Finite groups and their coprime automorphisms. Zbl 1371.20021 De Melo, Emerson; Shumyatsky, Pavel 6 2017 Multilinear commutators in residually finite groups. Zbl 1283.20021 Shumyatsky, Pavel 6 2012 Profinite groups in which centralizers are abelian. Zbl 1482.20018 Shumyatsky, Pavel; Zalesskii, Pavel; Zapata, Theo 6 2019 Compact groups in which all elements are almost right Engel. Zbl 1454.20076 Khukhro, E. I.; Shumyatsky, P. 6 2019 Profinite groups with restricted centralizers of commutators. Zbl 1472.20061 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 6 2020 Coprime commutators in \(\mathrm{PSL}(2,q)\). Zbl 1294.20015 Pellegrini, Marco Antonio; Shumyatsky, Pavel 6 2012 On elements of prime-power index in finite groups. Zbl 1195.20025 Camina, Alan R.; Shumyatsky, Pavel; Sica, Carmela 6 2010 On groups with finite verbal conjugacy classes. Zbl 1021.20028 Franciosi, Silvana; de Giovanni, Francesco; Shumyatsky, Pavel 5 2002 On profinite groups in which commutators are Engel. Zbl 0982.20013 Shumyatsky, Pavel 5 2001 On locally soluble periodic groups with Chernikov centralizer of a four- subgroup. Zbl 0817.20044 Shumyatsky, Pavel 5 1994 Profinite groups with an automorphism whose fixed points are right Engel. Zbl 1442.20015 Acciarri, C.; Khukhro, E. I.; Shumyatsky, P. 5 2019 On profinite groups with commutators covered by nilpotent subgroups. Zbl 1361.20023 Shumyatsky, Pavel 5 2016 Exponent of a finite group admitting a coprime automorphism. Zbl 1452.20017 Rodrigues, Sara; Shumyatsky, Pavel 5 2020 Characteristic subgroups in locally finite groups. Zbl 1255.20038 Makarenko, N. Yu.; Shumyatsky, P. 5 2012 On finite-by-nilpotent groups. Zbl 1530.20084 Detomi, Eloisa; Donadze, Guram; Morigi, Marta; Shumyatsky, Pavel 5 2021 On the commuting probability for subgroups of a finite group. Zbl 1515.20118 Detomi, Eloisa; Shumyatsky, Pavel 5 2022 On groups covered by locally nilpotent subgroups. Zbl 1375.20034 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 5 2017 Almost Engel linear groups. Zbl 1426.20014 Shumyatsky, Pavel 5 2018 On groups with automorphisms whose fixed points are Engel. Zbl 1486.20026 Acciarri, Cristina; Shumyatsky, Pavel; da Silveira, Danilo Sanção 5 2018 On periodic soluble groups and the fixed point groups of operators. Zbl 0795.20015 Shumyatskij, P. 5 1992 A stronger form of Neumann’s BFC-theorem. Zbl 1476.20036 Acciarri, Cristina; Shumyatsky, Pavel 5 2021 On local finiteness of periodic residually finite groups. Zbl 1013.20031 Kuzucuoğlu, Mahmut; Shumyatsky, Pavel 4 2002 On verbal subgroups in finite and profinite groups. Zbl 1294.20038 Acciarri, Cristina; Shumyatsky, Pavel 4 2012 On pro-\(p\) groups admitting a fixed-point-free automorphism. Zbl 0955.20017 Shumyatsky, Pavel 4 2000 On locally finite groups and centralizers of automorphisms. Zbl 1130.20308 Shumyatsky, Pavel 4 2001 An Engel condition for orderable groups. Zbl 1344.20052 Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 4 2015 Profinite groups and the fixed points of coprime automorphisms. Zbl 1341.20025 Acciarri, Cristina; Shumyatsky, Pavel 4 2016 Coverings of commutators in profinite groups. Zbl 1393.20012 Acciarri, Cristina; Shumyatsky, Pavel 4 2017 Nilpotency of finite groups with Frobenius groups of automorphisms. Zbl 1260.20036 Khukhro, E. I.; Shumyatsky, P. 4 2011 On centralizers in locally finite groups. Zbl 0992.20030 Shumyatsky, Pavel 4 2001 On conciseness of some commutator words. Zbl 1429.20024 Delizia, Costantino; Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 4 2019 Fixed points of coprime operator groups. Zbl 1254.20019 Acciarri, Cristina; Shumyatsky, Pavel 4 2011 On finite groups in which coprime commutators are covered by few cyclic subgroups. Zbl 1304.20031 Acciarri, Cristina; Shumyatsky, Pavel 4 2014 On finiteness of some verbal subgroups in profinite groups. Zbl 1477.20066 Azevedo, João; Shumyatsky, Pavel 4 2021 The dihedral group as a group of automorphisms. Zbl 1277.20023 Shumyatsky, Pavel 4 2013 On the Fitting height of a finite group. Zbl 1193.20016 Shumyatsky, Pavel 4 2010 On nilpotency of higher commutator subgroups of a finite soluble group. Zbl 1501.20002 da Silva Alves, Josean; Shumyatsky, Pavel 4 2021 Strong conciseness of Engel words in profinite groups. Zbl 1523.20048 Khukhro, E. I.; Shumyatsky, P. 4 2023 Probabilistically nilpotent groups of class two. Zbl 1532.20070 Eberhard, Sean; Shumyatsky, Pavel 3 2024 On conciseness of the word in Olshanskii’s example. Zbl 1535.20162 Pintonello, Matteo; Shumyatsky, Pavel 1 2024 Strong conciseness of Engel words in profinite groups. Zbl 1523.20048 Khukhro, E. I.; Shumyatsky, P. 4 2023 Strong conciseness of coprime commutators in profinite groups. Zbl 1526.20041 de las Heras, Iker; Pintonello, Matteo; Shumyatsky, Pavel 2 2023 Bounding the order of a verbal subgroup in a residually finite group. Zbl 1512.20104 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 2 2023 On profinite groups in which centralizers have bounded rank. Zbl 1528.20035 Shumyatsky, Pavel 1 2023 Compact groups with probabilistically central monothetic subgroups. Zbl 1535.22011 Azevedo, João; Shumyatsky, Pavel 1 2023 On the commuting probability for subgroups of a finite group. Zbl 1515.20118 Detomi, Eloisa; Shumyatsky, Pavel 5 2022 Finite-by-nilpotent groups and a variation of the BFC-theorem. Zbl 1496.20057 Shumyatsky, Pavel 2 2022 On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks. Zbl 1490.20022 Khukhro, E. I.; Shumyatsky, P. 2 2022 On profinite groups with automorphisms whose fixed points have countable Engel sinks. Zbl 1512.20087 Khukhro, Evgeny I.; Shumyatsky, Pavel 2 2022 Profinite groups with restricted centralizers of \(\pi\)-elements. Zbl 1517.20040 Acciarri, Cristina; Shumyatsky, Pavel 2 2022 Bounded conjugacy classes, commutators and approximate subgroups. Zbl 1497.20036 Shumyatsky, Pavel 1 2022 Coprime automorphisms of finite groups. Zbl 1511.20081 Acciarri, Cristina; Guralnick, Robert M.; Shumyatsky, Pavel 1 2022 Centralizers of commutators in finite groups. Zbl 1512.20100 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 1 2022 Profinite groups with an automorphism of prime order whose fixed points have finite Engel sinks. Zbl 1523.20047 Khukhro, E. I.; Shumyatsky, P. 1 2022 On finiteness of verbal subgroups. Zbl 1511.20115 Azevedo, João; Shumyatsky, Pavel 1 2022 Compact groups with countable Engel sinks. Zbl 07468889 Khukhro, E. I.; Shumyatsky, P. 9 2021 On finite-by-nilpotent groups. Zbl 1530.20084 Detomi, Eloisa; Donadze, Guram; Morigi, Marta; Shumyatsky, Pavel 5 2021 A stronger form of Neumann’s BFC-theorem. Zbl 1476.20036 Acciarri, Cristina; Shumyatsky, Pavel 5 2021 On finiteness of some verbal subgroups in profinite groups. Zbl 1477.20066 Azevedo, João; Shumyatsky, Pavel 4 2021 On nilpotency of higher commutator subgroups of a finite soluble group. Zbl 1501.20002 da Silva Alves, Josean; Shumyatsky, Pavel 4 2021 Compact groups in which all elements have countable right Engel sinks. Zbl 07446632 Khukhro, E. I.; Shumyatsky, P. 4 2021 Profinite groups in which centralizers are virtually procyclic. Zbl 1512.20088 Shumyatsky, Pavel; Zalesskii, Pavel 2 2021 Strong conciseness of coprime and anti-coprime commutators. Zbl 1489.20015 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 2 2021 On the rank of a finite group of odd order with an involutory automorphism. Zbl 1473.20031 Acciarri, Cristina; Shumyatsky, Pavel 1 2021 Strong conciseness in profinite groups. Zbl 1528.20034 Detomi, Eloisa; Klopsch, Benjamin; Shumyatsky, Pavel 10 2020 Words of Engel type are concise in residually finite groups. II. Zbl 1511.20117 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 7 2020 Profinite groups with restricted centralizers of commutators. Zbl 1472.20061 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 6 2020 Exponent of a finite group admitting a coprime automorphism. Zbl 1452.20017 Rodrigues, Sara; Shumyatsky, Pavel 5 2020 Profinite groups with pronilpotent centralizers. Zbl 1443.20047 Shumyatsky, Pavel 3 2020 Right Engel-type subgroups and length parameters of finite groups. Zbl 1520.20088 Khukhro, E. I.; Shumyatsky, P.; Traustason, G. 3 2020 Profinite groups in which many elements have prime power order. Zbl 1455.20022 Shumyatsky, Pavel 3 2020 Finite groups with small centralizers of word-values. Zbl 1452.20018 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 1 2020 On semiconcise words. Zbl 1467.20023 Delizia, Costantino; Shumyatsky, Pavel; Tortora, Antonio 1 2020 On bounded conciseness of Engel-like words in residually finite groups. Zbl 1477.20055 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 16 2019 BFC-theorems for higher commutator subgroups. Zbl 1454.20070 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 11 2019 Words of Engel type are concise in residually finite groups. Zbl 1469.20030 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 11 2019 Profinite groups in which centralizers are abelian. Zbl 1482.20018 Shumyatsky, Pavel; Zalesskii, Pavel; Zapata, Theo 6 2019 Compact groups in which all elements are almost right Engel. Zbl 1454.20076 Khukhro, E. I.; Shumyatsky, P. 6 2019 Profinite groups with an automorphism whose fixed points are right Engel. Zbl 1442.20015 Acciarri, C.; Khukhro, E. I.; Shumyatsky, P. 5 2019 On conciseness of some commutator words. Zbl 1429.20024 Delizia, Costantino; Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 4 2019 Linear groups with almost right Engel elements. Zbl 1457.20029 Shumyatsky, Pavel 4 2019 Engel sinks of fixed points in finite groups. Zbl 1468.20068 Acciarri, Cristina; Shumyatsky, Pavel; Silveira, Danilo 4 2019 Engel groups with an identity. Zbl 1506.20073 Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 3 2019 Exponent of a finite group of odd order with an involutory automorphism. Zbl 1444.20016 Rodrigues, Sara; Shumyatsky, Pavel 2 2019 Fitting subgroup and nilpotent residual of fixed points. Zbl 1512.20067 De Melo, Emerson; Shumyatsky, Pavel 1 2019 Groups in which squares have boundedly many conjugates. Zbl 1439.20028 Dierings, Gláucia; Shumyatsky, Pavel 1 2019 Almost Engel compact groups. Zbl 1427.20048 Khukhro, E. I.; Shumyatsky, P. 16 2018 Groups with boundedly finite conjugacy classes of commutators. Zbl 1401.20034 Dierings, Gláucia; Shumyatsky, Pavel 15 2018 On bounded conciseness of words in residually finite groups. Zbl 1427.20038 Fernández-Alcober, Gustavo A.; Shumyatsky, Pavel 12 2018 A criterion for metanilpotency of a finite group. Zbl 1402.20032 Bastos, Raimundo; Monetta, Carmine; Shumyatsky, Pavel 9 2018 Finite groups with Engel sinks of bounded rank. Zbl 1480.20089 Khukhro, E. I.; Shumyatsky, P. 8 2018 On profinite groups with word values covered by nilpotent subgroups. Zbl 1498.20069 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 7 2018 Almost Engel linear groups. Zbl 1426.20014 Shumyatsky, Pavel 5 2018 On groups with automorphisms whose fixed points are Engel. Zbl 1486.20026 Acciarri, Cristina; Shumyatsky, Pavel; da Silveira, Danilo Sanção 5 2018 Nilpotent residual of fixed points. Zbl 1498.20052 de Melo, Emerson; de Souza Lima, Aline; Shumyatsky, Pavel 4 2018 On profinite groups with commutators covered by countably many cosets. Zbl 1428.20030 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 3 2018 Orderable groups with Engel-like conditions. Zbl 1427.20053 Shumyatsky, Pavel 1 2018 Finite groups and their coprime automorphisms. Zbl 1371.20021 De Melo, Emerson; Shumyatsky, Pavel 6 2017 On groups covered by locally nilpotent subgroups. Zbl 1375.20034 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 5 2017 Coverings of commutators in profinite groups. Zbl 1393.20012 Acciarri, Cristina; Shumyatsky, Pavel 4 2017 On just-infiniteness of locally finite groups and their \(C^*\)-algebras. Zbl 1371.46042 Belyaev, V.; Grigorchuk, R.; Shumyatsky, P. 3 2017 Nonsoluble length of finite groups with restrictions on Sylow subgroups. Zbl 1370.20020 Contreras-Rojas, Y.; Shumyatsky, P. 2 2017 On groups with finite conjugacy classes in a verbal subgroup. Zbl 1483.20057 Delizia, Costantino; Shumyatsky, Pavel; Tortora, Antonio 2 2017 Engel-type subgroups and length parameters of finite groups. Zbl 1433.20002 Khukhro, E. I.; Shumyatsky, P. 2 2017 Locally finite groups and their subgroups with small centralizers. Zbl 1362.20033 Ersoy, Kıvanç; Kuzucuoǧlu, Mahmut; Shumyatsky, Pavel 1 2017 On just infinite periodic locally soluble groups. Zbl 1423.20036 Grigorchuk, R.; Shumyatsky, P. 1 2017 Finite groups and Lie rings with an automorphism of order \(2^n\). Zbl 1428.20027 Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P. 1 2017 Commutators and commutator subgroups in profinite groups. Zbl 1375.20033 Acciarri, Cristina; Shumyatsky, Pavel 1 2017 On finite groups with automorphisms whose fixed points are Engel. Zbl 1342.20025 Shumyatsky, Pavel; Sanção da Silveira, Danilo 12 2016 A sufficient condition for nilpotency of the commutator subgroup. Zbl 1358.20014 Bastos, R.; Shumyatsky, Pavel 12 2016 On conciseness of words in profinite groups. Zbl 1342.20032 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 11 2016 On varieties of groups satisfying an Engel type identity. Zbl 1335.20034 Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 9 2016 Almost Engel finite and profinite groups. Zbl 1354.20024 Khukhro, E. I.; Shumyatsky, P. 7 2016 On locally graded groups with a word whose values are Engel. Zbl 1345.20052 Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 7 2016 On profinite groups with commutators covered by nilpotent subgroups. Zbl 1361.20023 Shumyatsky, Pavel 5 2016 Profinite groups and the fixed points of coprime automorphisms. Zbl 1341.20025 Acciarri, Cristina; Shumyatsky, Pavel 4 2016 On the length of a finite group and of its 2-generator subgroups. Zbl 1375.20018 Detomi, Eloisa; Shumyatsky, Pavel 3 2016 Locally finite groups containing a \(2\)-element with Chernikov centralizer. Zbl 1339.20034 Khukhro, E. I.; Makarenko, N. Yu.; Shumyatsky, P. 1 2016 Nonsoluble and non-\(p\)-soluble length of finite groups. Zbl 1333.20023 Khukhro, E. I.; Shumyatsky, P. 30 2015 On rational and concise words. Zbl 1346.20042 Guralnick, Robert; Shumyatsky, Pavel 19 2015 Commutators of elements of coprime orders in finite groups. Zbl 1311.20021 Shumyatsky, Pavel 12 2015 On countable coverings of word values in profinite groups. Zbl 1308.20027 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 10 2015 On profinite groups with Engel-like conditions. Zbl 1315.20026 Bastos, Raimundo; Shumyatsky, Pavel 8 2015 On the length of finite groups and of fixed points. Zbl 1330.20036 Khukhro, E. I.; Shumyatsky, P. 8 2015 An Engel condition for orderable groups. Zbl 1344.20052 Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 4 2015 On the length of finite factorized groups. Zbl 1332.20021 Khukhro, E. I.; Shumyatsky, P. 3 2015 Nonsoluble length of finite groups with commutators of small order. Zbl 1371.20017 Contreras-Rojas, Y.; Shumyatsky, Pavel 3 2015 Frobenius groups of automorphisms and their fixed points. Zbl 1328.17017 Khukhro, Evgeny; Makarenko, Natalia; Shumyatsky, Pavel 24 2014 Words and pronilpotent subgroups in profinite groups. Zbl 1310.20030 Khukhro, E. I.; Shumyatsky, P. 16 2014 On words that are concise in residually finite groups. Zbl 1302.20036 Acciarri, Cristina; Shumyatsky, Pavel 15 2014 Conciseness of coprime commutators in finite groups. Zbl 1295.20017 Acciarri, Cristina; Shumyatsky, Pavel; Thillaisundaram, Anitha 13 2014 Bounding the exponent of a verbal subgroup. Zbl 1306.20034 Detomi, Eloisa; Morigi, Marta; Shumyatsky, Pavel 7 2014 On finite groups in which coprime commutators are covered by few cyclic subgroups. Zbl 1304.20031 Acciarri, Cristina; Shumyatsky, Pavel 4 2014 Centralizers of coprime automorphisms of finite groups. Zbl 1298.20029 Acciarri, Cristina; Shumyatsky, Pavel 2 2014 Procyclic coverings of commutators in profinite groups. Zbl 1305.20035 Fernández-Alcober, Gustavo A.; Morigi, Marta; Shumyatsky, Pavel 1 2014 The ranks of central factor and commutator groups. Zbl 1272.20032 Kurdachenko, Leonid A.; Shumyatsky, Pavel 17 2013 On groups admitting a word whose values are Engel. Zbl 1277.20039 Bastos, Raimundo; Shumyatsky, Pavel; Tortora, Antonio; Tota, Maria 13 2013 On profinite groups in which commutators are covered by finitely many subgroups. Zbl 1311.20032 Acciarri, Cristina; Shumyatsky, Pavel 10 2013 ...and 93 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 220 Authors 160 Shumyatsky, Pavel 45 Khukhro, Evgeniĭ I. 26 Detomi, Eloisa 26 Morigi, Marta 21 Acciarri, Cristina 14 de Araujo Bastos, Raimundo jun. 13 Tortora, Antonio 12 Tota, Maria 11 Makarenko, N. Yu. 10 De Melo, Emerson 10 Kurdachenko, Leonid Andriĭovych 7 Fernández-Alcober, Gustavo A. 7 Monetta, Carmine 7 Silveira, Danilo 6 Ercan, Gülin 6 Otal Cinca, Javier 6 Timoshenko, Evgeniĭ Iosifovich 5 de Giovanni, Francesco 5 Güloglu, Ismail Suayip 5 Guralnick, Robert Michael 5 Lucchini, Andrea 5 Sica, Carmela 4 Azevedo, João Luiz F. 4 Caldeira, Jhone 4 Dixon, Martyn Russell 4 Dudkin, Fëdor Anatol’evich 4 Russo, Francesco Giuseppe 4 Subbotin, Igor Yakov 4 Wehrfritz, Bertram A. F. 4 Zalesskii, Pavel 3 Buturlakin, Aleksandr Aleksandrovich 3 Contreras-Rojas, Yerko 3 De Falco, Maria 3 de las Heras, Iker 3 de Souza Lima, Aline 3 Delizia, Costantino 3 Ersoy, Kıvanç 3 Jabara, Enrico 3 Legarreta, Leire 3 Meng, Hangyang 3 Pintonello, Matteo 3 Rocco, Noraí Romeu 3 Rodrigues, Sara 3 Sanção da Silveira, Danilo 3 Traustason, Gunnar 3 Trombetti, Marco 2 Ballester-Bolinches, Adolfo 2 Camina, Rachel Deborah 2 Covato, Elisa 2 da Silva, Wállef 2 de Andrade, Agenor Freitas 2 Fine, Benjamin L. 2 Fumagalli, Francesco 2 Gaglione, Anthony M. 2 Guo, Xiuyun 2 Gupta, Chander Kanta 2 Klopsch, Benjamin 2 Klyachko, Anton Aleksandrovich 2 Kong, Qingjun 2 Kundu, Rijubrata 2 Kunyavskiĭ, Boris Èmmanuilovich 2 Kuzucuoğlu, Mahmut 2 Leinen, Felix 2 Lima, Enio N. 2 Liu, Weijun 2 Longobardi, Patrizia 2 Maj, Mercede 2 Maslova, Natal’ya Vladimirovna 2 Mishra, Sumit Chandra 2 Musella, Carmela 2 Plotkin, Eugene 2 Puglisi, Orazio 2 Revin, Danila Olegovitch 2 Silva, Jhone Caldeira 2 Spellman, Dennis 2 Tamarozzi, Antonio 2 Thillaisundaram, Anitha 2 Trabelsi, Nadir 2 Vasil’ev, Andreĭ Viktorovich 2 Yang, Xu 2 Zapata, Theo 1 Abdollahi, Alireza 1 Aivazidis, Stefanos 1 Alcober, G. A. Fernández 1 Altınel, Tuna 1 Bächle, Andreas 1 Baginski, Paul 1 Bahturin, Yuri 1 Baumslag, Gilbert 1 Bavuma, Yanga 1 Bering, Edgar Andrew IV 1 Blatherwick, Vikki A. 1 Bondarenko, Nataliya V. 1 Bors, Alexander 1 Brachter, Jendrik 1 Brandl, Rolf 1 Burness, Timothy C. 1 Caicedo, Mauricio 1 Camina, Alan R. 1 Camp-Mora, Sergio ...and 120 more Authors all top 5 Cited in 72 Serials 58 Journal of Algebra 24 Communications in Algebra 23 Monatshefte für Mathematik 21 Archiv der Mathematik 16 Israel Journal of Mathematics 16 Journal of Group Theory 15 Algebra and Logic 15 Journal of Pure and Applied Algebra 11 International Journal of Group Theory 9 Bulletin of the Australian Mathematical Society 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Journal of the Australian Mathematical Society 7 Proceedings of the American Mathematical Society 7 Siberian Mathematical Journal 6 Glasgow Mathematical Journal 6 International Journal of Algebra and Computation 6 Journal of Algebra and its Applications 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Rendiconti del Seminario Matematico della Università di Padova 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Doklady Mathematics 3 Bulletin of the Brazilian Mathematical Society. New Series 2 Discrete Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of the London Mathematical Society 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Forum Mathematicum 2 The Quarterly Journal of Mathematics 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Proceedings of the Steklov Institute of Mathematics 2 Bulletin of Mathematical Sciences 2 Advances in Group Theory and Applications 1 Indian Journal of Pure & Applied Mathematics 1 Russian Mathematical Surveys 1 Ukrainian Mathematical Journal 1 Commentationes Mathematicae Universitatis Carolinae 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Publicacions Matemàtiques 1 International Journal of Mathematics 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Journal of Lie Theory 1 Communications in Contemporary Mathematics 1 Trudy Instituta Matematiki 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Groups, Geometry, and Dynamics 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Ars Mathematica Contemporanea 1 São Paulo Journal of Mathematical Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Problemy Fiziki, Matematiki i Tekhniki 1 Journal of Siberian Federal University. Mathematics & Physics 1 Bollettino dell’Unione Matematica Italiana 1 Journal of Combinatorial Algebra 1 Annales Henri Lebesgue 1 Journal of the Iranian Mathematical Society all top 5 Cited in 16 Fields 320 Group theory and generalizations (20-XX) 34 Nonassociative rings and algebras (17-XX) 14 Topological groups, Lie groups (22-XX) 13 Combinatorics (05-XX) 9 Mathematical logic and foundations (03-XX) 5 Associative rings and algebras (16-XX) 3 Algebraic geometry (14-XX) 3 Functional analysis (46-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.