Open AccessOn some numerical characteristics of permutability of subgroups of finite groups
Author(s) -
V.A. Chupordia
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241120
Subject(s) - permutable prime , mathematics , combinatorics , locally finite group , group (periodic table) , fitting subgroup , index of a subgroup , discrete mathematics , finite group , characteristic subgroup , statistics , physics , quantum mechanics , abelian group
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.