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Automorphisms of semidirect products fixing the non-normal subgroup

Group Theory 2021-07-09 v1
Authors: 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 pp-group and non-abelian pp-groups (p≥5)(p\ge 5) of order p4p^{4}, where pp is a prime.

Keywords

automorphism group semidirect product non-normal subgroup metacyclic p-group non-abelian p-groups

Cite

@article{arxiv.2107.03976,
  title  = {Automorphisms of semidirect products fixing the non-normal subgroup},
  author = {Ratan Lal and Vipul Kakkar},
  journal= {arXiv preprint arXiv:2107.03976},
  year   = {2021}
}

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