Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Cohomology and finite subgroups of profinite groups
HTML articles powered by AMS MathViewer

by Pham Anh Minh and Peter Symonds PDF
Proc. Amer. Math. Soc. 132 (2004), 1581-1588 Request permission

Abstract:

We prove two theorems linking the cohomology of a pro-$p$ group $G$ with the conjugacy classes of its finite subgroups. The number of conjugacy classes of elementary abelian $p$-subgroups of $G$ is finite if and only if the ring $H^{*}(G,\mathbb {Z}/p)$ is finitely generated modulo nilpotent elements. If the ring $H^{*}(G,\mathbb {Z} /p)$ is finitely generated, then the number of conjugacy classes of finite subgroups of $G$ is finite.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 20J06, 17B50
  • Retrieve articles in all journals with MSC (2000): 20J06, 17B50
Additional Information
  • Pham Anh Minh
  • Affiliation: Department of Mathematics, College of Science, University of Hue, Dai hoc Khoa hoc, Hue, Vietnam
  • Address at time of publication: Inst. Hautes Études Sci., Le Bois-Marie, 35 Route de Chartres, F-91440 Bures-sur-Yvette, France
  • Email: paminh@dng.vnn.vn
  • Peter Symonds
  • Affiliation: Department of Mathematics, U.M.I.S.T., P.O. Box 88, Manchester M60 1QD, England
  • Email: Peter.Symonds@umist.ac.uk
  • Received by editor(s): November 1, 2002
  • Received by editor(s) in revised form: February 9, 2003
  • Published electronically: November 4, 2003
  • Communicated by: Stephen D. Smith
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1581-1588
  • MSC (2000): Primary 20J06, 17B50
  • DOI: https://doi.org/10.1090/S0002-9939-03-07250-2
  • MathSciNet review: 2051117