Mod \(p\) cohomology algebras of finite groups with extraspecial Sylow \(p\)-subgroups
type: Item
instance of: scholarly article
title: Mod \(p\) cohomology algebras of finite groups with extraspecial Sylow \(p\)-subgroups
zbMATH Open document ID: 0972.20029
author: Hiroki Sasaki
published in: Hokkaido Mathematical Journal
publication date: 2001-06-24T00:00:00Z
review text: This paper studies the mod \(p\) cohomology algebras of finite groups whose Sylow \(p\)-subgroups are extraspecial. The subject is approached from the viewpoint of modular representation theory with relatively projective modules playing a significant role, following on from work of \textit{T. Okuyama} and \textit{H. Sasaki} [Algebr. Represent. Theory (to appear)]. The particular case of \(\text{GL}(3,\mathbb{F}_p)\) is worked out in detail.
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20G10
zbMATH DE Number: 1532960
zbMATH Keywords: cohomology algebras
zbMATH Keywords: extraspecial groups
zbMATH Keywords: general linear groups
reviewed by: Martin D. Crossley
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1350912972
OpenAlex ID: W2152572049
DOI: 10.14492/HOKMJ/1350912972
description: scientific article; zbMATH DE number 1532960