Modular invariant theory and cohomology algebras of extra-special p- groups
type: Item
instance of: scholarly article
title: Modular invariant theory and cohomology algebras of extra-special p- groups
zbMATH Open document ID: 0606.20043
author: Pham Anh Minh
published in: Pacific Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Let G be a finite extra-special p-group. The mod p cohomology algebra of G was determined by Quillen for \(p=2\). It eventually led to the development of Quillen's K-theory. The present work concentrates on \(p>2\) and determines the image under the restriction map from G to its maximal elementary abelian subgroups A - up to isomorphism of G, there is just one such A and just two such G with the same order. The present case is complicated because the exterior algebra part is not commutative and leads to nilpotent elements.
Mathematics Subject Classification ID: 20J06
zbMATH DE Number: 3979368
zbMATH Keywords: finite extra-special p-group
zbMATH Keywords: mod p cohomology algebra
zbMATH Keywords: restriction map
zbMATH Keywords: exterior algebra
reviewed by: Chih-Han Sah
MaRDI profile type: Publication
full work available at URL: pjm.1986.124.345
OpenAlex ID: W1999761671
DOI: 10.2140/PJM.1986.124.345
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description: scientific article; zbMATH DE number 3979368