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Subjects
20-XX Group theory and generalizations
20Fxx Special aspects of infinite or finite groups
20F12 Commutator calculus

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Permutability of centre-by-finite groups

Brunetto Piochi (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $G$ be a group and $m$ be an integer greater than or equal to $2$ . $G$ is said to be $m$ -permutable if every product of $m$ elements can be reordered at least in one way. We prove that, if $G$ has a centre of finite index $z$ , then $G$ is $(1+[z/2])$ -permutable. More bounds are given on the least $m$ such that $G$ is $m$ -permutable.

Powers of a product of commutators as products of squares.

Abdollahi, Alireza (2004)

International Journal of Mathematics and Mathematical Sciences

Powers of commutators as products of squares.

Akhavan-Malayeri, M. (2002)

International Journal of Mathematics and Mathematical Sciences

Currently displaying 1 – 3 of 3

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