Geodesic
Continuous cohomology and homology of profinite groups
Documenta mathematica, Tome 21 (2016), pp. 1269-1312
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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.
DOI : 10.4171/dm/x2
Classification : 13J10, 20E18, 20J05, 20J06
Mots-clés : profinite groups, continuous cohomology, quasi-abelian categories 
@article{10_4171_dm_x2,
     author = {Marco Boggi and Ged Corob Cook},
     title = {Continuous cohomology and homology of profinite groups},
     journal = {Documenta mathematica},
     pages = {1269--1312},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/x2},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x2/}
}
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Marco Boggi; Ged Corob Cook. Continuous cohomology and homology of profinite groups. Documenta mathematica, Tome 21 (2016), pp. 1269-1312. doi: 10.4171/dm/x2

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