Noninner automorphisms of finite p-groups leaving the center elementwise fixed

A longstanding conjecture asserts that every finite nonabelian p-group admits a noninner automorphism of order p. Let G be a finite nonabelian p-group. It is known that if G is regular or of nilpotency class 2 or the commutator subgroup of G is cyclic, or G/Z(G) is powerful, then G has a noninner au...

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Bibliographic Details
Main Authors: Alireza Abdollahi, S. Mohsen Ghoraishi
Format: Article
Language:English
Published: University of Isfahan 2013-12-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=2761&_ob=dbf6c7e37f884c3d7c270219cb030012&fileName=full_text.pdf.