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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.

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Chern subrings
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by Masaki Kameko and Nobuaki Yagita PDF
Proc. Amer. Math. Soc. 138 (2010), 367-373 Request permission

Abstract:

Let $p$ be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has $p$-torsion, the Chern classes do not generate the Chow ring of its classifying space.
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Additional Information
  • Masaki Kameko
  • Affiliation: Faculty of Contemporary Society, Toyama University of International Studies, Toyama 930-1292, Japan
  • Email: kameko@tuins.ac.jp
  • Nobuaki Yagita
  • Affiliation: Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
  • MR Author ID: 185110
  • Email: yagita@mx.ibaraki.ac.jp
  • Received by editor(s): November 2, 2008
  • Received by editor(s) in revised form: May 7, 2009
  • Published electronically: August 20, 2009
  • Additional Notes: The authors are partially supported by the Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C) 19540105, 20540061, respectively.
  • Communicated by: Paul Goerss
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 367-373
  • MSC (2000): Primary 55R40, 57T15, 20J06, 20J05
  • DOI: https://doi.org/10.1090/S0002-9939-09-10042-4
  • MathSciNet review: 2550202