Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/63298
Type: Artigo
Title: Building resolutions
Author: Kochloukova, Dessislava H.
Harlander, Jens
Abstract: We consider how a resolution of an abelian group M over Z could be lifted to a free resolution of the trivial module R over R[M], where R is the field of the rationals. The extended resolution is defined in terms of the exterior and divided powers algebras. Furthermore if the resolution of M is in fact a free resolution over Z[G] for some group G then the extended resolution will provide a free resolution of the augmentation ideal of R[M] over R[M proportional to G]. Furthermore if R is a subring of the rationals containing Z and all j less than or equal to i are invertible in R then the extended complex can be defined up to dimension (i + 1) and is exact up to dimension i. (C) 2003 Elsevier Inc. All rights reserved.
We consider how a resolution of an abelian group M over Z could be lifted to a free resolution of the trivial module R over R[M], where R is the field of the rationals. The extended resolution is defined in terms of the exterior and divided powers algebra
Subject: Teoria dos grupos
Grupos metabelianos
Grupos abelianos
Módulos (Álgebra)
Country: Estados Unidos
Editor: Elsevier
Citation: Journal Of Algebra. Academic Press Inc Elsevier Science, v. 269, n. 2, n. 632, n. 651, 2003.
Rights: Fechado
Identifier DOI: 10.1016/S0021-8693(03)00401-0
Address: https://www.sciencedirect.com/science/article/pii/S0021869303004010
Date Issue: 2003
Appears in Collections:IMECC - Artigos e Outros Documentos

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