Comparison of the discrete and continuous cohomology groups of a pro-$p$ group
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- by G. A. Fernández-Alcober, I. V. Kazachkov, V. N. Remeslennikov and P. Symonds
- St. Petersburg Math. J. 19 (2008), 961-973
- DOI: https://doi.org/10.1090/S1061-0022-08-01030-3
- Published electronically: August 22, 2008
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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.References
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Bibliographic Information
- G. A. Fernández-Alcober
- Affiliation: Matematika Saila, Zientzia eta Teknologia Fakultatea, Euskal Herriko Unibertsitatea, 48080 Bilbao, Spain
- MR Author ID: 307028
- Email: gustavo.fernandez@ehu.es
- I. V. Kazachkov
- Affiliation: Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, Montreal, Quebec H3A 2K6, Canada
- Email: kazachkov@math.mcgill.ca
- V. N. Remeslennikov
- Affiliation: Institute of Mathematics, Russian Academy of Sciences, Pevtsova St. 13, 644099 Omsk, Russia
- Email: remesl@iitam.omsk.net.ru
- P. Symonds
- Affiliation: School of Mathematics, University of Manchester, P.O. Box 88, Manchester M60 1QD, United Kingdom
- Email: peter.symonds@manchester.ac.uk
- Received by editor(s): July 15, 2007
- Published electronically: August 22, 2008
- Additional Notes: The first author was supported by the Spanish Ministry of Science and Education, grant MTM2004-04665, partly with FEDER funds, and by the University of the Basque Country, grant UPV05/99.
The third author was supported by the RFBR, grant no. 05-01-00057 - © Copyright 2008 American Mathematical Society
- Journal: St. Petersburg Math. J. 19 (2008), 961-973
- MSC (2000): Primary 20J06
- DOI: https://doi.org/10.1090/S1061-0022-08-01030-3
- MathSciNet review: 2411962
Dedicated: To the memory of D. K. Faddeev