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A Note on Automorphisms of Finite p-Groups.

Authors :
Soleimani, Rasoul
Source :
Journal of Mathematical Extension. 2021, Vol. 15 Issue 3, p1-9. 9p.
Publication Year :
2021

Abstract

Let G be a group and AutΦ(G) denote the group of all automorphisms of G centralizing G/Φ(G) elementwise. In this paper, we give a necessary and sufficient condition on a finite p-group G for the group AutΦ(G) to be elementary abelian. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17358299
Volume :
15
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Mathematical Extension
Publication Type :
Academic Journal
Accession number :
150266740