A spectral sequence in Bredon (co)homology
type: Item
instance of: scholarly article
title: A spectral sequence in Bredon (co)homology
zbMATH Open document ID: 1017.18009
DOI: 10.1016/S0022-4049(02)00154-8
author: Conchita Martínez-Pérez
published in: Journal of Pure and Applied Algebra
publication date: 2003-03-09T00:00:00Z
review text: For a finite group \(G\), \textit{J. Słomińska} [Fundam. Math. 140, 1-30 (1991; Zbl 0812.55004)] has developed a spectral sequence in Bredon cohomology. Given a group \(G\) and some two different families of subgroups of \(G\) the author develops two spectral sequences (in terms of Bredon (co)homology) converging to the (co)homology groups of \(G\). Then some bounds for the (co)homological dimension of \(G\) are derived. Next the existence of a Lyndon-Hochschild-Serre spectral sequence associated to a normal subgroup \(N\triangleleft G\) is shown and further consequences deduced as well.
reviewed by: Marek Golasiński
Mathematics Subject Classification ID: 18G40
Mathematics Subject Classification ID: 20J05
Mathematics Subject Classification ID: 55N25
Mathematics Subject Classification ID: 16D90
zbMATH DE Number: 1878438
zbMATH Keywords: Bredon (co)homology
zbMATH Keywords: (co)homological dimension
zbMATH Keywords: spectral sequence
MaRDI profile type: Publication
cites work: Q3997902
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full work available at URL: s0022-4049(02)00154-8
OpenAlex ID: W2065806772
description: scientific article; zbMATH DE number 1878438