Fritz Grunewald, Boris Kunyavskii, Daniela Nikolova, Eugene Plotkin: Two-variable identities in groups and Lie algebras

grunewald@math.uni-duesseldorf.de, kunyav@macs.biu.ac.il, daniela@moi.math.bas.bg, plotkin@macs.biu.ac.il

Submission: 2000, Nov 7

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.

1991 Mathematics Subject Classification: 17B01, 17B30, 20F16, 20G15

Keywords and Phrases: identity, solvable group, solvable Lie algebra

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