Relative derived contravariant functors and the cohomology of groups

Graham J. Ellis

doi:10.1016/0022-4049(90)90004-2

Relative derived contravariant functors and the cohomology of groups

Graham J. Ellis

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

4 Citations (Scopus)

Abstract

This article investigates the cohomology of a group relative to a collection of normal subgroups. A group-theoretic description of the first relative cohomology is given and used to deduce: a new five term exact sequence; some Hopf type formulas; and a new version of the Universal Coefficient Theorem.

Original language	English
Pages (from-to)	21-33
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	64
Issue number	1
DOIs	https://doi.org/10.1016/0022-4049(90)90004-2
Publication status	Published - 15 May 1990

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abstract = "This article investigates the cohomology of a group relative to a collection of normal subgroups. A group-theoretic description of the first relative cohomology is given and used to deduce: a new five term exact sequence; some Hopf type formulas; and a new version of the Universal Coefficient Theorem.",

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Relative derived contravariant functors and the cohomology of groups

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