Thom spectra of the commutator subgroups of the generalized braid groups
type: Item
instance of: scholarly article
title: Thom spectra of the commutator subgroups of the generalized braid groups
zbMATH Open document ID: 0939.57001
DOI: 10.1007/BF02463204
publication date: 2000-03-27T00:00:00Z
review text: Brieskorn generalized the notion of braid group to finite Coxeter groups. Thus for the series of Coxeter groups corresponding to the Coxeter graphs \(C_{n}\) and \(D_{n}\) one obtains groups \(Br(C_{n})\) and \(Br(D_{n})\) respectively. The commutator groups \([Br(C_{n}),Br(C_{n})]\) and \([Br(D_{n}),Br(D_{n})]\) are canonically embedded into the group \(SO_{n}\). The paper determines the homotopy type of the plus-construction of the classifying spaces for these commutator subgroups and for the Thom spectra induced by the embeddings.
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 20F36
Mathematics Subject Classification ID: 55P42
zbMATH DE Number: 1407560
zbMATH Keywords: Coxeter groups
zbMATH Keywords: braid group
zbMATH Keywords: plus-construction
author: Erich Ossa
author: Vladimir Vershinin
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02463204
OpenAlex ID: W1971832757
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 1407560