On IA-isoclinism of groups.

Autor: Taheri, H.
Předmět:
Zdroj: Journal of Algebra & Its Applications; Oct2023, Vol. 22 Issue 10, p1-8, 8p
Abstrakt: Let G be a group and IA (G) denote the group of all automorphisms of G which induces the identity mapping on the abelianization (i.e. G / G ′ ). Let IA z (G) be the subgroup of IA (G) such that fix the center element-wise. In this paper, we introduce the new concept of IA-isoclinism between two groups and prove similar results to the case of isoclinism including an application towards g -autocommuting probability of finite groups. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index