Two-Variable Identities in Groups and Lie Algebras

F. Grunewald; B. Kunyavskii; D. Nikolova; E. Plotkin

Two-Variable Identities in Groups and Lie Algebras

F. Grunewald, B. Kunyavskii, D. Nikolova, E. Plotkin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study two-variable Engel-like relations and identities characterizing finite-dimensional solvable Lie algebras and, conjecturally, finite solvable groups and introduce some invariants of finite groups associated with such relations. Bibliography: 29 titles

Original language	American English
Pages (from-to)	2972-2981
Journal	Journal of Mathematical Sciences
Volume	116
Issue number	1
State	Published - 2003

Bibliographical note

another version - (*) F.Grunewald, B.Kunyavskii, D.Nikolova, E.Plotkin, Two-variable identities in groups and
Lie algebras, Zapiski POMI, Russian Academy of Science 272 (2000), 161-176.

Cite this

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title = "Two-Variable Identities in Groups and Lie Algebras",

abstract = "We study two-variable Engel-like relations and identities characterizing finite-dimensional solvable Lie algebras and, conjecturally, finite solvable groups and introduce some invariants of finite groups associated with such relations. Bibliography: 29 titles",

author = "F. Grunewald and B. Kunyavskii and D. Nikolova and E. Plotkin",

note = "another version - (*) F.Grunewald, B.Kunyavskii, D.Nikolova, E.Plotkin, Two-variable identities in groups and Lie algebras, Zapiski POMI, Russian Academy of Science 272 (2000), 161-176.",

year = "2003",

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AU - Kunyavskii, B.

AU - Nikolova, D.

AU - Plotkin, E.

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PY - 2003

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N2 - We study two-variable Engel-like relations and identities characterizing finite-dimensional solvable Lie algebras and, conjecturally, finite solvable groups and introduce some invariants of finite groups associated with such relations. Bibliography: 29 titles

AB - We study two-variable Engel-like relations and identities characterizing finite-dimensional solvable Lie algebras and, conjecturally, finite solvable groups and introduce some invariants of finite groups associated with such relations. Bibliography: 29 titles

UR - http://link.springer.com/article/10.1023/A:1023450709743

M3 - Article

SN - 1072-3374

VL - 116

SP - 2972

EP - 2981

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 1

ER -

Two-Variable Identities in Groups and Lie Algebras

Abstract

Bibliographical note

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