On generalized autocommutativity degree of finite groups

Authors : Parama Dutta, Rajat Kanti Nath

Pages : 472-478

View : 18 | Download : 11

Publication Date : 2019-04-01

Article Type : Research

Abstract :Let $H$  be  a subgroup of a finite group $G$ and Aut$(G)$ 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$(G)$ , is equal to a given element of  $G$.
Keywords : automorphism group, autocommutativity degree, autoisoclinism