Two-Variable Identities in Groups and Lie Algebras |
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Authors: | F. Grunewald B. Kunyavskii D. Nikolova E. Plotkin |
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Affiliation: | (1) Math. Institut, Heinrich Heine Universität, 40225 Düsseldorf, GERMANY;(2) Dept of Math. and Computer Science, Bar-Ilan University, 52900 Ramat Gan, ISRAEL;(3) Bulgarian Academy of Sciences, Insitute of Math., Sofia, BULGARIA |
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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. |
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