On residually finite groups satisfying an Engel type identity.
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Data
2020
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Resumo
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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Engel element, Engel groups, Locally graded groups, Lie algebras
Citação
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.