Проблема Бернсайда и связанные с ней вопросы@@@The Burnside problem and related topics

[1]  S. I. Adyan.  An Axiomatic Method of Constructing Groups with Given Properties , 1977 .

[2]  A. Ol'šanskiĭ.  ON THE PROBLEM OF A FINITE BASIS OF IDENTITIES IN GROUPS , 1970 .

[3]  Игорь Геронтьевич Лысeнок,et al.  Бернсайдовы структуры конечных подгрупп@@@Burnside structures of finite subgroups , 2007 .

[4]  Wilhelm Magnus,et al.  The History of Combinatorial Group Theory , 1982 .

[5]  Sergei V Ivanov.  On periodic Products of Groups , 1995, Int. J. Algebra Comput..

[6]  M. Vaughan-Lee,et al.  Bounds in the restricted Burnside problem , 1999, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

[7]  SERGEI V. IVANOV,et al.  The Free Burnside Groups of Sufficiently Large exponents , 1994, Int. J. Algebra Comput..

[8]  S. I. Adian.  Classifications of periodic words and their application in group theory , 1980 .

[9]  P. Novikov,et al.  ON ABELIAN SUBGROUPS AND THE CONJUGACY PROBLEM IN FREE PERIODIC GROUPS OF ODD ORDER , 1968 .

[10]  W. Burnside.  On Criteria for the Finiteness of the Order of a Group of linear Substituions , 1905 .

[11]  S. I. Adian,et al.  Periodic groups and Lie algebras , 1987 .

[12]  S. I. Adyan,et al.  Lower estimates of the order of maximal periodic groups of prime period , 1988 .

[13]  Sergei V. Ivanov.  On the Burnside problem on periodic groups , 1992 .

[14]  A. Ol'shanskii,et al.  Groups St Andrews 1989: Some applications of graded diagrams in combinatorial group theory , 1991 .

[15]  Uniform non-amenability of free Burnside groups , 2004, math/0404073.

[16]  E. A. Cherepanov.  Normal Automorphisms of Free Burnside Groups of Large Odd Exponents , 2006, Int. J. Algebra Comput..

[17]  A. Ol'šanskiĭ.  AN INFINITE GROUP WITH SUBGROUPS OF PRIME ORDERS , 1981 .

[18]  S. I. Adyan,et al.  RANDOM WALKS ON FREE PERIODIC GROUPS , 1983 .

[19]  V. Obraztsov.  On a Problem of P. Hall about Groups Isomorphic to all their Non‐Trivial Normal Subgroups , 1997 .

[20]  I G Lysënok,et al.  ON SOME ALGORITHMIC PROPERTIES OF HYPERBOLIC GROUPS , 1990 .

[21]  V. S. Atabekyan.  Monomorphisms of free Burnside groups , 2009 .

[22]  P. Hall,et al.  A Contribution to the Theory of Groups of Prime‐Power Order , 1934 .

[23]  Gareth A. Jones,et al.  Varieties and simple groups , 1974, Journal of the Australian Mathematical Society.

[24]  Exponential lower estimate of the degree of nilpotency of Engel Lie algebras , 1986 .

[25]  W. Magnus.  Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring , 1935 .

[26]  Варужан Сергеевич Атабекян,et al.  О подгруппах свободных бернсайдовых групп нечетного периода $n\ge 1003$@@@On subgroups of free Burnside groups of odd exponent $n\ge 1003$ , 2009 .

[27]  J. L. Britton.  The Existence of Infinite Burnside Groups , 1973 .

[28]  N. Ozawa,et al.  The Dixmier problem, lamplighters and Burnside groups , 2009, 0902.4585.

[29]  S. V. Aleshin.  Finite automata and Burnside's problem for periodic groups , 1972 .

[30]  Варужан Сергеевич Атабекян,et al.  О мономорфизмах свободных бернсайдовых групп@@@Monomorphisms of Free Burnside Groups , 2009 .

[31]  Варужан Сергеевич Атабекян,et al.  Равномерная неаменабельность подгрупп свободных бернсайдовых групп нечетного периода@@@Uniform Nonamenability of Subgroups of Free Burnside Groups of Odd Period , 2009 .

[32]  R. Baer.  Endlichkeitskriterien für Kommutatorgruppen , 1951 .

[33]  Marshall Hall,et al.  Solution of the Burnside problem for exponent six , 1958 .

[34]  Yuri Il'ich Khmelevskii (on the sixtieth anniversary of his birth) , 1997 .

[35]  A. I. Kostrikin.  SANDWICHES IN LIE ALGEBRAS , 1981 .

[36]  E I Zel'manov,et al.  A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS , 1992 .

[37]  A finitely generated simple group with free 2-generated subgroups , 1986 .

[38]  A. Ol'šanskiĭ.  AN INFINITE SIMPLE NOETHERIAN GROUP WITHOUT TORSION , 1980 .

[39]  Errata: A Connection between the Baker-Hausdorff formula and a Problem of Burnside , 1950 .

[40]  I. Lysenok.  Infinite Burnside groups of even exponent , 1996 .

[41]  P. Hall,et al.  On the p‐Length of p‐Soluble Groups and Reduction Theorems for Burnside's Problem , 1956 .

[42]  S. Adjan.  INFINITE IRREDUCIBLE SYSTEMS OF GROUP IDENTITIES , 1970 .

[43]  Игорь Геронтьевич Лысeнок,et al.  Бесконечные бернсайдовы группы четного периода@@@Infinite Burnside groups of even exponent , 1996 .

[44]  P. Novikov,et al.  DEFINING RELATIONS AND THE WORD PROBLEM FOR FREE PERIODIC GROUPS OF ODD ORDER , 1968 .

[45]  S. Adjan.  ON SOME TORSION-FREE GROUPS , 1971 .

[46]  P. Novikov,et al.  INFINITE PERIODIC GROUPS. I , 1968 .

[47]  S. I. Adyan,et al.  ON GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE FINITE CYCLIC , 1992 .

[48]  V. S. Atabekyan.  On periodic groups of odd period n ≥ 1003 , 2007 .

[49]  S. Ivanov,et al.  On Finite and Locally Finite Subgroups of Free Burnside Groups of Large Even Exponents , 1997 .

[50]  Варужан Сергеевич Атабекян,et al.  О периодических группах нечетного периода $n\ge1003$@@@On Periodic Groups of Odd Period $n\ge1003$ , 2007 .

[51]  A. Olshanskii.  Self-Normalization of Free Subgroups in the Free Burnside Groups , 2003 .

[52]  Sergei Ivanovich Adian,et al.  The Burnside problem and identities in groups , 1979 .

[53]  R. Grigorchuk,et al.  Bernside's problem on periodic groups , 1980 .

[54]  Generalized small cancellation theory and applications I. The word problem , 1982 .

[55]  Varujan S. Atabekian.  On subgroups of free Burnside groups of odd exponent $ n\ge 1003$ , 2009 .

[56]  H. Zassenhaus.  Über Lie’sche Ringe mit Primzahlcharakteristik , 1939 .

[57]  E. Zelmanov.  SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT , 1991 .

[58]  Non-amenable finitely presented torsion-by-cyclic groups , 2003 .

[59]  A. Ol'shanskii.  ON THE NOVIKOV-ADYAN THEOREM , 1983 .

[60]  M. Hall.  The Theory Of Groups , 1959 .

[61]  S. Ivanov,et al.  Hyperbolic groups and their quotients of bounded exponents , 1996 .

[62]  A. I. Mal'tsev's problem on operations on groups , 1990 .

[63]  P. J. Higgins.  Lie rings satisfying the Engel condition , 1954, Mathematical Proceedings of the Cambridge Philosophical Society.

[64]  A. Olshanskii.  Groups of bounded period with subgroups of prime order , 1982 .

[65]  V. S. Atabekyan.  Uniform nonamenability of subgroups of free Burnside groups of odd period , 2009 .

[66]  Claudio Procesi,et al.  The Burnside problem , 1966 .