Equality of certain automorphism groups of finite $p$-groups

Deepak Gumber; Hemant Kalra

Equality of certain automorphism groups of finite $p$-groups

Group Theory 2014-07-03 v3

Authors: Deepak Gumber , Hemant Kalra

Abstract

Let $G$ be a finite $p$ -group and let Aut $(G)$ denote the full automorphism group of $G$ . In the recent past, there has been interest in finding necessary and sufficient conditions on $G$ such that certain subgroups of Aut $(G)$ are equal. We prove a technical lemma and, as a consequence, obtain some new results and short and alternate proofs of some known results of this type.

Keywords

finite p-groups automorphism groups group theory necessary and sufficient conditions technical lemma

Cite

@article{arxiv.1406.0237,
  title  = {Equality of certain automorphism groups of finite $p$-groups},
  author = {Deepak Gumber and Hemant Kalra},
  journal= {arXiv preprint arXiv:1406.0237},
  year   = {2014}
}

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6 pages

Equality of certain automorphism groups of finite $p$-groups

Abstract

Keywords

Cite

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