English

Some automorphism groups of finite p-groups

Group Theory 2013-01-03 v1

Abstract

A conjecture of Berkovich asserts that every non-simple finite p-group has a non-inner automorphism of order p. This conjecture is far from being proved despite the great effort devoted to it. In this paper we prove it for p-groups of coclass 2, provided that p is odd. Some related results are also proved, and may be considered as interesting independently.

Keywords

Cite

@article{arxiv.1301.0085,
  title  = {Some automorphism groups of finite p-groups},
  author = {Yassine Guerboussa and Miloud Reguiat},
  journal= {arXiv preprint arXiv:1301.0085},
  year   = {2013}
}

Comments

11 pages

R2 v1 2026-06-21T23:02:35.384Z