English

A Survey on Automorphism Groups of Finite $p$-Groups

Group Theory 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0610294,
  title  = {A Survey on Automorphism Groups of Finite $p$-Groups},
  author = {Geir T. Helleloid},
  journal= {arXiv preprint arXiv:math/0610294},
  year   = {2007}
}

Comments

20 pages, minor corrections and additional references