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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Chern subrings


Authors: Masaki Kameko and Nobuaki Yagita
Journal: Proc. Amer. Math. Soc. 138 (2010), 367-373
MSC (2000): Primary 55R40, 57T15, 20J06, 20J05
Published electronically: August 20, 2009
MathSciNet review: 2550202
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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
Email: yagita@mx.ibaraki.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10042-4
PII: S 0002-9939(09)10042-4
Keywords: Chow ring, Chern class, classifying space, motivic cohomology
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
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.