Strongly reversible groups

Tamura, Takayuki

doi:10.1090/S0002-9939-1982-0640223-9

Strongly reversible groups
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Proc. Amer. Math. Soc. 84 (1982), 325-330 Request permission

Abstract:

Following Thierrin [9], a group $G$ is called strongly reversible if for every $x$, $y \in G$ there are positive integers $l$, $m$, $n$ such that ${(xy)^l} = {x^m}{y^n} = {y^n}{x^m}$. This paper studies the structure of strongly reversible groups.

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