A note on automorphisms of finite p-groups

Rasoul Soleimani

Abstract


Let G  be a group and Aut^{\phi}(G) denote the group of all automorphisms of G centralizing G/\phi(G) elementwise. In this paper, we give a necessary and sufficient condition on a finite p-group G for the group Aut^{\phi}(G) to be elementary abelian.

Keywords


Automorphism group, Finite p-group, Frattini subgroup.

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