G. A. Fernández-Alcober, I. V. Kazatchkov, V. N. Remeslennikov, P. Symonds, “Comparison of the discrete and continuous cohomology groups of a pro-$p$ group”, Algebra i Analiz, 19:6 (2007), 126–142; St. Petersburg Math. J., 19:6 (2008), 961

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Algebra i Analiz, 2007, Volume 19, Issue 6, Pages 126–142 (Mi aa149)

This article is cited in 9 scientific papers (total in 9 papers)

Research Papers

Comparison of the discrete and continuous cohomology groups of a pro-$p$ group

G. A. Fernández-Alcober^a, I. V. Kazatchkov^b, V. N. Remeslennikov^c, P. Symonds^d

^a Matematika Saila, Zientzia eta Teknologia Fakultatea, Euskal Herriko Unibertsitatea, Bilbao, Spain
^b Department of Mathematics and Statistics, McGill University, Monreal, Quebec, Canada
^c Institute of Mathematics, Russian Academy of Science, Omsk
^d School of Mathematics, University of Manchester, Manchester, United Kingdom

Full-text PDF (279 kB) Citations (9)

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Abstract: It is studied whether or not the natural map from the continuous to the discrete second cohomology group of a finitely generated pro-$p$ group is an isomorphism.

Keywords: Profinite group, comparison map.

Received: 15.07.2007

English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 6, Pages 961–973
DOI: https://doi.org/10.1090/S1061-0022-08-01030-3

Bibliographic databases:

Document Type: Article

MSC: 20J06

Language: English

Citation: G. A. Fernández-Alcober, I. V. Kazatchkov, V. N. Remeslennikov, P. Symonds, “Comparison of the discrete and continuous cohomology groups of a pro-$p$ group”, Algebra i Analiz, 19:6 (2007), 126–142; St. Petersburg Math. J., 19:6 (2008), 961–973

Citation in format AMSBIB

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\transl

\jour St. Petersburg Math. J.

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\pages 961--973

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Linking options:

https://www.mathnet.ru/eng/aa149

https://www.mathnet.ru/eng/aa/v19/i6/p126

This publication is cited in the following 9 articles:

Tamar Bar-On, “Cohomological properties of maximal pro-p Galois groups that are preserved under profinite completion”, Forum Mathematicum, 2024
Tamar Bar-On, Nikolay Nikolov, “Groups of profinite type and profinite rigidity”, Journal of Group Theory, 2024
Alexander Dranishnikov, “On generalized Milnor's conjecture for abelian topological groups”, Topology and its Applications, 2024, 109097
Kropholler P., Lorensen K., “Virtually Torsion-Free Covers of Minimax Groups”, Ann. Sci. Ec. Norm. Super., 53:1 (2020), 125–171
Caraiani A., Gulotta D.R., Hsu Ch.-Yu., Johansson Ch., Mocz L., Reinecke E., Shih Sh.-Ch., “Shimura Varieties At Level Gamma(1) (P(Infinity)) and Galois Representations”, Compos. Math., 156:6 (2020)
Andrey M. Mikhovich, Springer Proceedings in Mathematics & Statistics, 284, Knots, Low-Dimensional Topology and Applications, 2019, 363
Ivanov S.O., Mikhailov R., “On Discrete Homology of a Free Pro-P-Group”, Compos. Math., 154:10 (2018), 2195–2204
Ivanov S.O., Mikhailov R., “on a Problem of Bousfield For Metabelian Groups”, Adv. Math., 290 (2016), 552–589
Sury B., “The Tits building and an application to abstract central extensions of $p$-adic algebraic groups by finite $p$-groups”, Proc. Amer. Math. Soc., 139:6 (2011), 2033–2044

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	179
References:	74
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