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Some remarks concerning degree zero complete cohomology

Some remarks concerning degree zero complete cohomology
Some remarks concerning degree zero complete cohomology
We describe degree zero mod-p complete cohomology modulo its radical in purely group-theoretic terms, for members of a class of groups that includes all groups of finite virtual cohomological dimension. We give examples to show that our description does not apply to all discrete groups. We also give examples of discrete groups to which Quillen's description of the ordinary mod-p cohomology ring (up to F-isomorphism) does not apply.
0271-4132
20-25
Cornick, J.
ed463244-471a-4973-a609-26d5736dd62f
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Cornick, J.
ed463244-471a-4973-a609-26d5736dd62f
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e

Cornick, J. and Leary, I.J. (2000) Some remarks concerning degree zero complete cohomology. Contemporary Mathematics, 265, 20-25.

Record type: Article

Abstract

We describe degree zero mod-p complete cohomology modulo its radical in purely group-theoretic terms, for members of a class of groups that includes all groups of finite virtual cohomological dimension. We give examples to show that our description does not apply to all discrete groups. We also give examples of discrete groups to which Quillen's description of the ordinary mod-p cohomology ring (up to F-isomorphism) does not apply.

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Published date: 2000
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Identifiers

Local EPrints ID: 29836
URI: http://eprints.soton.ac.uk/id/eprint/29836
ISSN: 0271-4132
PURE UUID: df42fccf-37cc-4b2e-b8cd-18420a25189b
ORCID for I.J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 27 Jul 2006
Last modified: 23 Jul 2020 00:33

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