G. A. Fernández-Alcober, I. V. Kazatchkov, V. N. Remeslennikov, P. Symonds, “Comparison of the discrete and continuous cohomology groups of a pro-<nobr>$p$</nobr> group”, Algebra i Analiz, 2007, Volume 19, Issue 6,Pages <nobr>126

This article is cited 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

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.

MSC: 20J06

Received: 15.07.2007

Language: English