On residually finite groups satisfying an Engel type identity.
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Date
2020
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Abstract
Let n, q be positive integers. We show that if G is a finitely generated residually finite
group satisfying the identity [x,n yq ] ≡ 1, then there exists a function f (n) such that
G has a nilpotent subgroup of finite index of class at most f (n). We also extend this
result to locally graded groups.
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Keywords
Engel element, Engel groups, Locally graded groups, Lie algebras
Citation
SILVEIRA, D. S. da. On residually finite groups satisfying an Engel type identity. Monatshefte fur Mathematik, v. 193, p. 171-176, 2020. Disponível em: <https://link.springer.com/article/10.1007/s00605-020-01390-y>. Acesso em: 29 abr. 2022.