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Chern subrings
Author(s):
Masaki
Kameko;
Nobuaki
Yagita
Journal:
Proc. Amer. Math. Soc.
138
(2010),
367-373.
MSC (2000):
Primary 55R40, 57T15, 20J06, 20J05
Posted:
August 20, 2009
MathSciNet review:
2550202
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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:
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
Posted:
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 of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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