On some numerical characteristics of permutability of subgroups of finite groups

V.A. Chupordia

doi:10.15421/241120

On some numerical characteristics of permutability of subgroups of finite groups

V.A. Chupordia (Oles Honchar Dnipropetrovsk National University)

Abstract

Subgroups $$$H$$$ and $$$K$$$ permute in $$$G$$$ if $$$HK = KH$$$. Subgroup $$$H$$$ of $$$G$$$ is permutable if it permutes with every subgroup of $$$G$$$. We obtain some inequalities for the probability that any subgroup of $$$G$$$ is permutable.

Keywords

finite group; permutable subgroup; dihedral group

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