Abelian Groups, Homomorphisms and Central Automorphisms of Nilpotent Groups

2006/02/14 by Mahalanobis, Ayan
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/0602304

Abstract

In this paper we find a necessary and sufficient condition for a finite nilpotent group to have an abelian central automorphism group.

Related

• A simple construction for a class of p-groups with all of their automorphisms central
• On central automorphisms of groups and nilpotent rings
• Finite Groups with Abelian Automorphism Groups: A Survey
• On the non-inner automorphism conjecture of finite p-groups
• Automorphisms of groups and converse of Schur's theorem