Stiefel-Whitney classes of real representations of finite groups
type: Item
instance of: scholarly article
title: Stiefel-Whitney classes of real representations of finite groups
zbMATH Open document ID: 0687.55008
DOI: 10.1016/0021-8693(89)90309-8
author: J. Gunarwardena
author: Bruno Kahn
author: Charles B. Thomas
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: The authors prove that for representations of finite groups there exists one and only one family of Stiefel-Whitney classes which satisfies a modified version of Hirzebruch axioms. The construction is done within the framework of the cohomology of finite groups. They compute these classes in several cases and give examples for which the mod 2 cohomology of the group is generated by Stiefel-Whitney classes of representations.
Mathematics Subject Classification ID: 55R40
Mathematics Subject Classification ID: 20J06
zbMATH DE Number: 4126308
zbMATH Keywords: representations
zbMATH Keywords: finite groups
zbMATH Keywords: Stiefel-Whitney classes
zbMATH Keywords: Hirzebruch axioms
reviewed by: Francisco Gómez
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90309-8
OpenAlex ID: W2039742251
cites work: Q5340151
cites work: The mod p cohomology rings of the nonabelian split metacyclic p-groups
cites work: A Generalization of the Transfer Map in the Cohomology of Groups
cites work: Chern Classes of Certain Representations of Symmetric Groups
cites work: Cohomology of classifying spaces of complex Lie groups and related discrete groups
cites work: Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
cites work: Characteristic classes of direct image bundles for covering maps
cites work: Q3344112
cites work: Classes de Stiefel-Whitney de formes quadratiques et de représentations galoisiennes réelles
cites work: An Algebraic Characterisation of Chern Classes of Finite Group Representations
cites work: The Adams conjecture
cites work: The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
cites work: The mod-2 cohomology of metacyclic 2-groups
cites work: Conducteurs d'Artin des caracteres reels. (Artin conductors of real characters)
cites work: Chern Classes of Representations
description: scientific article; zbMATH DE number 4126308