Some properties of semi-abelian \(p\)-groups

Authors

  • M. T. Benmoussa
  • Y. Guerboussa

Keywords:

finite $p$-groups, cohomology of groups, automorphisms

Abstract

We prove a cohomological property for a class of finite \(p\)-groups introduced earlier by M. Y. Xu, which we call semi-abelian \(p\)-groups. This result implies that a semi-abelian \(p\)-group has non inner automorphisms of order \(p\), which settles a longstanding problem for this class. We answer also, independently, an old question of M. Y. Xu about the power structure of semi-abelian \(p\)-groups. DOI: 10.1017/S000497271400080X

Published

2014-11-13

Issue

Section

Articles