Considerations on the subgroup commutativity degree and related notions

Details Considerations on the subgroup commutativity degree and related notions Considerations on the subgroup commutativity degree and related notions

2011-02-02

arxiv.org/abs/1102.0509v3

Mathematics

Group Theory

13 pages; this is a complete new version, entirely rewritten: inaccuracies were found and there was the desire to cover more s

Scientific paper

The concept of subgroup commutativity degree of a finite group $G$ is arising
interest in several areas of group theory in the last years, since it gives a
measure of the probability that a randomly picked pair $(H,K)$ of subgroups of
$G$ satisfies the condition $HK=KH$. In this paper, a stronger notion is
studied and relations with the commutativity degree are found.

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