A note on automorphisms of finite $p$-groups

Gustavo A. Fernández-Alcober; Anitha Thillaisundaram

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arXiv · 1508.00725

A note on automorphisms of finite $p$-groups

Gustavo A. Fernández-Alcober·Anitha Thillaisundaram

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Abstract

Let $G$ be a finite non-cyclic $p$-group of order at least $p^3$. If $G$ has an abelian maximal subgroup, or if $G$ has an elementary abelian centre with $C_G(Z(\Phi(G))) \ne \Phi(G)$, then $|G|$ divides $|\text{Aut}(G)|$.

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BibTeX RIS

Gustavo A. Fernández-Alcober, Anitha Thillaisundaram. 2015-08-04. A note on automorphisms of finite $p$-groups. https://arxiv.org/abs/1508.00725

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