Continuous cohomology and homology of profinite groups
Group Theory
2016-09-30 v4
Abstract
We develop cohomological and homological theories for a profinite group with coefficients in the Pontryagin dual categories of pro-discrete and ind-profinite -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.
Keywords
Cite
@article{arxiv.math/0306381,
title = {Continuous cohomology and homology of profinite groups},
author = {Marco Boggi and Ged Corob Cook},
journal= {arXiv preprint arXiv:math/0306381},
year = {2016}
}
Comments
49 pages. Final version to appear on Documenta Mathematica