The University of Southampton
University of Southampton Institutional Repository

Continuous cohomology and homology of profinite groups

Continuous cohomology and homology of profinite groups
Continuous cohomology and homology of profinite groups
We develop cohomological and homological theories for a profinite group G with coefficients in the Pontryagin dual categories of pro-discrete and ind-profinite G-modules, respectively. The standard results of group (co)homology hold for this theory: we prove versions of the Universal Coefficient Theorem, the Lyndon-Hochschild-Serre spectral sequence and Shapiro's Lemma.
1431-0635
1-46
Boggi, Marco
7774ed94-1f1f-4ab7-9b0a-a408ce79acc8
Corob Cook, Ged
de8c4e37-ab72-4e7c-ad10-a940066433c5
Boggi, Marco
7774ed94-1f1f-4ab7-9b0a-a408ce79acc8
Corob Cook, Ged
de8c4e37-ab72-4e7c-ad10-a940066433c5

Boggi, Marco and Corob Cook, Ged (2016) Continuous cohomology and homology of profinite groups. Documenta Mathematica, 1-46. (In Press)

Record type: Article

Abstract

We develop cohomological and homological theories for a profinite group G with coefficients in the Pontryagin dual categories of pro-discrete and ind-profinite G-modules, respectively. The standard results of group (co)homology hold for this theory: we prove versions of the Universal Coefficient Theorem, the Lyndon-Hochschild-Serre spectral sequence and Shapiro's Lemma.

Text
Continuous cohomology of profinite groups.pdf - Accepted Manuscript
Download (430kB)

More information

Accepted/In Press date: 29 September 2016
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 401072
URI: https://eprints.soton.ac.uk/id/eprint/401072
ISSN: 1431-0635
PURE UUID: 46787953-4461-4dd9-9a90-99e34be7074e

Catalogue record

Date deposited: 04 Oct 2016 15:13
Last modified: 09 Jan 2018 17:49

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×