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 | References | Similar Articles | Additional Information

Abstract: Let be an odd prime. We show that for a simply connected semisimple complex linear algebraic group, if its integral homology has -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

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.