Automorphisms of semidirect products fixing the non-normal subgroup

Vipul Kakkar; Ratan Lal

Automorphisms of semidirect products fixing the non-normal subgroup

Authors

Vipul Kakkar
Ratan Lal

Keywords:

Automorphism Group; Semidirect product; p-group. 2010 Mathematics Subject Classification. 20D45; 20E36. 1 Introduction Let H and K be two groups and φ : K −→ Aut (H) be a group homomorphism, where Aut (H) is the group of

Abstract

In this paper, we describe the automorphism group of semidirect product of two groups that fixes the non-normal subgroup
of it. We have computed these automorphisms for the non-abelian metacyclic p-group and non-abelian p-groups ( p ≥ 5) of order p4,
where p is a prime.

Downloads

Published

2024-09-12

How to Cite

Kakkar, V., & Lal, R. (2024). Automorphisms of semidirect products fixing the non-normal subgroup. Jordan Journal of Mathematics and Statistics, 17(2). Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/372