Some bounds on commutativity degree

Details Some bounds on commutativity degree Some bounds on commutativity degree

2011-08-16

arxiv.org/abs/1108.3202v1

Mathematics

Group Theory

10 pages

Scientific paper

The relative commutativity degree of a subgroup $H$ of a finite group $G$,
denoted by $\Pr(H, G)$, is the probability that an element of $G$ commutes with
an element of $H$. In this article we obtain some lower and upper bounds for
$\Pr(H, G)$ and their consequences. We also study an invariance property of
$\Pr(H, G)$ and its generalizations, under isoclinism of pairs of groups.

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