- Hacettepe Journal of Mathematics and Statistics
- Volume:48 Issue:2
- On generalized autocommutativity degree of finite groups
On generalized autocommutativity degree of finite groups
Authors : Parama DUTTA, Rajat KANTİ NATH
Pages : 472-478
View : 50 | Download : 11
Publication Date : 2019-04-01
Article Type : Research Paper
Abstract :Let $H$ be a subgroup of a finite group $G$ and Aut$insert ignore into journalissuearticles values(G);$ be the automorphism group of $G$. In this paper we introduce and study the probability that the autocommutator of a randomly chosen pair of elements, one from $H$ and the other from Aut$insert ignore into journalissuearticles values(G);$ , is equal to a given element of $G$.Keywords : automorphism group, autocommutativity degree, autoisoclinism
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