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arXiv · 1108.3202

Some bounds on commutativity degree

R. K. Nath·M. K. Yadav
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Abstract

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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R. K. Nath, M. K. Yadav. 2011-08-16. Some bounds on commutativity degree. https://arxiv.org/abs/1108.3202

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