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- W3098989938 abstract "Let $m,n$ be positive integers. Suppose that $G$ is a residually finite group in which for every element $x in G$ there exists a positive integer $q=q(x) leqslant m$ such that $x^q$ is $n$-Engel. We show that $G$ is locally virtually nilpotent. Further, let $w$ be a multilinear commutator and $G$ a residually finite group in which for every product of at most $896$ $w$-values $x$ there exists a positive integer $q=q(x)$ dividing $m$ such that $x^q$ is $n$-Engel. Then $w(G)$ is locally virtually nilpotent." @default.
- W3098989938 created "2020-11-23" @default.
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- W3098989938 date "2016-06-03" @default.
- W3098989938 modified "2023-09-23" @default.
- W3098989938 title "On Residually Finite Groups with Engel-like Conditions" @default.
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- W3098989938 doi "https://doi.org/10.1080/00927872.2015.1087014" @default.
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