A Survey on Automorphism Groups of Finite p-Groups

2006/10/09 by Helleloid, Geir T.
#20E36 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/0610294

Abstract

This survey on the automorphism groups of finite p-groups focuses on three major topics: explicit computations for familiar finite p-groups, such as the extraspecial p-groups and Sylow p-subgroups of Chevalley groups; constructing p-groups with specified automorphism groups; and the discovery of finite p-groups whose automorphism groups are or are not p-groups themselves. The material is presented with varying levels of detail, with some of the examples given in complete detail.

Related

• Automorphism Groups of Finite p-Groups: Structure and Applications
• Finite Groups with Abelian Automorphism Groups: A Survey
• On the isomorphism problem for certain p-groups
• Automorphisms of K-groups II
• Some automorphism groups of finite p-groups