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

Vol. 91 No. 1 (2015)

Section

Articles
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