Hostname: page-component-7bb8b95d7b-5mhkq Total loading time: 0 Render date: 2024-10-02T22:39:26.545Z Has data issue: false hasContentIssue false
  • English
  • Français

The action of automorphisms on the cohomology of a p-group

Published online by Cambridge University Press:  01 November 1999

PETER SYMONDS
PETER SYMONDS
Affiliation:
Department of Mathematics, UMIST, PO Box 88, Manchester M60 1QD; e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

The automorphism group of a p-group acts naturally on the mod-p cohomology of the group. This action need not be faithful, but we show that it contains every simple module as a composition factor.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 3 , November 1999 , pp. 495 - 496
Copyright
© The Cambridge Philosophical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)