A note on automorphisms of finite p-groups

Authors

  • Rasoul Soleimani Department of Mathematics, Payame Noor University (PNU), 19395-3697

DOI:

https://doi.org/10.30495/jme.v0i0.1484

Keywords:

Automorphism group, Finite p-group, Frattini subgroup.

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.

Author Biography

Rasoul Soleimani, Department of Mathematics, Payame Noor University (PNU), 19395-3697

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Published

2020-12-27

Issue

Vol. 15

Section

Vol. 15, No. 3, (2021)

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