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Two-Variable Identities in Groups and Lie Algebras

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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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Grunewald, F., Kunyavskii, B., Nikolova, D. et al. Two-Variable Identities in Groups and Lie Algebras. Journal of Mathematical Sciences 116, 2972–2981 (2003). https://doi.org/10.1023/A:1023450709743

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