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arXiv · 1406.0237

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

Deepak Gumber·Hemant Kalra
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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.

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Deepak Gumber, Hemant Kalra. 2014-06-02. Equality of certain automorphism groups of finite $p$-groups. https://arxiv.org/abs/1406.0237

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