On generalized autocommutativity degree of finite groups

Yıl 2019, Cilt: 48 Sayı: 2, 472 - 478, 01.04.2019

Parama Dutta Rajat Kanti Nath

Öz

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  $G$.

Anahtar Kelimeler

automorphism group, autocommutativity degree, autoisoclinism

Kaynakça

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