ON A CONJECTURE ON AUTOMORPHISMS OF FINITE p-GROUPS
نویسنده
چکیده
Let G be a finite p-group such that xZ(G) ⊆ x for all x ∈ G−Z(G), where x denotes the conjugacy class of x in G. Then |G| divides |Aut(G)|, where Aut(G) is the group of all automorphisms of G.
منابع مشابه
A Note on Absolute Central Automorphisms of Finite $p$-Groups
Let $G$ be a finite group. The automorphism $sigma$ of a group $G$ is said to be an absolute central automorphism, if for all $xin G$, $x^{-1}x^{sigma}in L(G)$, where $L(G)$ be the absolute centre of $G$. In this paper, we study some properties of absolute central automorphisms of a given finite $p$-group.
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