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arXiv · 2107.03976

Automorphisms of semidirect products fixing the non-normal subgroup

Ratan Lal·Vipul Kakkar
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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 $(p\ge 5)$ of order $p^{4}$, where $p$ is a prime.

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Ratan Lal, Vipul Kakkar. 2021-07-08. Automorphisms of semidirect products fixing the non-normal subgroup. https://arxiv.org/abs/2107.03976

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