F. J. Grunewald, B. È. Kunyavskii, D. B. Nikolova, E. B. Plotkin, “Two-variable identities in groups and Lie algebras”, Zap. Nauchn. Sem. POMI, 2000, Volume 272,Pages <nobr>161

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Two-variable identities in groups and Lie algebras

F. J. Grunewald^a, B. È. Kunyavskii^b, D. B. Nikolova^c, E. B. Plotkin^b

^a Mathematisches Institut Heinrich-Heine-Universität Düsseldorf
^b Bar-Ilan University, Department of Mathematics
^c Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

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 to such relations.

UDC: 512.546.6+512.8.15

Received: 11.10.2000

Language: English