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2006.306: The bredon cohomology of subgroup complexes

2006.306: Peter Symonds (2005) The bredon cohomology of subgroup complexes. Journal of Pure and Applied Algebra, 199 (1-3). pp. 261-298. ISSN 0022-4049

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DOI: 10.1016/j.jpaa.2004.12.010

Abstract

We develop the homological algebra of coefficient systems on a group, in particular from the point of view of calculating higher limits. We show how various sequences of modules associated to a class of subgroups of a given group can be analysed by methods from homological algebra. We are particularly interested in when these sequences are exact, or, if not, when their homology is equal to the higher limits of the coefficient system.

Item Type:Article
Subjects:MSC 2000 > 18 Category theory; homological algebra
MSC 2000 > 20 Group theory and generalizations
MSC 2000 > 55 Algebraic topology
MIMS number:2006.306
Deposited By:Miss Louise Stait
Deposited On:16 August 2006

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