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Transfers of Chern classes in BP-cohomology and Chow rings
Author(s):
Björn
Schuster;
Nobuaki
Yagita
Journal:
Trans. Amer. Math. Soc.
353
(2001),
1039-1054.
MSC (2000):
Primary 55P35, 57T25;
Secondary 55R35, 57T05
Posted:
August 8, 2000
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Abstract:
The -module structure of for extraspecial -groups is studied using transfer and Chern classes. These give rise to -torsion elements in the kernel of the cycle map from the Chow ring to ordinary cohomology first obtained by Totaro.
References:
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- [A]
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Transfer and Chern classes for extraspecial -groups. In: A. Adem, J. F. Carlson, S. B. Priddy and P. J. Webb, Eds. Group representations: cohomology, group actions and topology (Seattle, WA, 1996). Proc. Sympos. Pure Math. 63, pp. 245-255, Amer. Math. Soc., Providence, RI, 1998. MR 99d:20083 - [HK]
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- I. Kriz.
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Brown-Peterson cohomology from Morava -theory.
-Theory 15 (1998), 147-199. CMP 99:02 - [S]
- B. Schuster.
On the Morava -theory of some finite -groups. Math. Proc. Cambridge Philos. Soc. 121 (1997), 7-13. MR 97i:55008 - [T1]
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Additional Information:
Björn
Schuster
Affiliation:
FB 7 Mathematik, Bergische Universität-Gesamthochschule Wuppertal, 42097 Wuppertal, Germany
Email:
schuster@math.uni-wuppertal.de
Nobuaki
Yagita
Affiliation:
Department of Mathematics, Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
Email:
yagita@mito.ipc.ibaraki.ac.jp
DOI:
10.1090/S0002-9947-00-02647-7
PII:
S 0002-9947(00)02647-7
Keywords:
BP-theory,
transfer,
Chern classes,
Chow ring
Received by editor(s):
March 29, 1999
Posted:
August 8, 2000
Copyright of article:
Copyright
2000,
American Mathematical Society
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