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On Automorphisms of Finite $p$-groups

Manoj K. Yadav
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Abstract

Let $G$ be a finite $p$-group such that $x\Z(G) \subseteq x^G$ for all $x \in G- \Z(G)$, where $x^G$ denotes the conjugacy class of $x$ in $G$. Then $|G|$ divides $|\Aut(G)|$, where $\Aut(G)$ is the group of all automorphisms of $G$.

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Manoj K. Yadav. 2008-01-29. On Automorphisms of Finite $p$-groups. https://arxiv.org/abs/math/0608534

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