Non-abelian tensor and exterior products modulo \(q\) and universal \(q\)- central relative extension
type: Item
instance of: scholarly article
title: Non-abelian tensor and exterior products modulo \(q\) and universal \(q\)- central relative extension
zbMATH Open document ID: 0795.20035
DOI: 10.1016/0022-4049(92)90092-T
author: Daniel Conduché
author: Celso Rodríguez-Fernández
published in: Journal of Pure and Applied Algebra
publication date: 1992-09-27T00:00:00Z
review text: Let \(G\) be a discrete group and \(q\) a positive integer. For two crossed \(G\)-modules, \textit{R. Brown} and \textit{J.-L. Loday} [Topology 26, 311-335 (1987; Zbl 0622.55009)] introduced notions of a non-abelian tensor product and of an exterior product. In the paper under review, analogues modulo \(q\) are proposed and their properties are studied. Thereafter notions of a \(q\)-central relative extension and that of a universal \(q\)- central relative extension are introduced, a condition is given for the existence of a universal \(q\)-central relative extension, and a description of the latter is offered involving the exterior product modulo \(q\).
reviewed by: J. Huebschmann
Mathematics Subject Classification ID: 20J05
Mathematics Subject Classification ID: 20E22
zbMATH DE Number: 60680
zbMATH Keywords: discrete group
zbMATH Keywords: crossed \(G\)-modules
zbMATH Keywords: non-abelian tensor product
zbMATH Keywords: exterior product
zbMATH Keywords: universal \(q\)-central relative extension
MaRDI profile type: Publication
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full work available at URL: 0022-4049(92)90092-t
OpenAlex ID: W2029002773
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description: scientific article; zbMATH DE number 60680