On Automorphisms of Finite $p$-groups

Details On Automorphisms of Finite $p$-groups On Automorphisms of Finite $p$-groups

2006-08-22

arxiv.org/abs/math/0608534v2

J. Group Theory, Vol. 10 (2007), 859-866

Mathematics

Group Theory

Appeared in Journal of Group Theory

Scientific paper

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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