Original scientific paper

https://doi.org/10.3336/gm.49.1.10

p-groups for which each outer p-automorphism centralizes only p elements

Alireza Abdollahi orcid.org/0000-0001-7277-4855 ; Department of Mathematics, University of Isfahan, Isfahan 81746-73441, Iran
S. Mohsen Ghoraishi ; Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran

Abstract

An automorphism of a group is called outer if it is not an inner automorphism. Let G be a finite p-group. Then for every outer p-automorphism φ of G the subgroup CG(φ)={x∈ G | xφ=x} has order p if and only if G is of order at most p2.

Keywords

p-groups; p-automorphism; outer automorphism

Hrčak ID:

122524

URI

https://hrcak.srce.hr/122524

Publication date:

8.6.2014.

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