A cohomological property of semi-abelian $p$-groups
Group Theory
2014-06-23 v1
Abstract
We prove a cohomological property for a class of finite -groups introduced earlier by M. Y. Xu, which we call semi-abelian -groups. This result implies that a semi-abelian -group has non-inner automorphisms of order , which settles a longstanding problem for this class. We answer also, independetly, an old question of M. Y. Xu about the power structure of semi-abelian -groups.
Keywords
Cite
@article{arxiv.1406.5397,
title = {A cohomological property of semi-abelian $p$-groups},
author = {Mohammed T. Benmoussa and Yassine Guerboussa},
journal= {arXiv preprint arXiv:1406.5397},
year = {2014}
}