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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Transfers of Chern classes in BP-cohomology and Chow rings
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by Björn Schuster and Nobuaki Yagita PDF
Trans. Amer. Math. Soc. 353 (2001), 1039-1054 Request permission

Abstract:

The $BP^*$-module structure of $BP^*(BG)$ for extraspecial $2$-groups is studied using transfer and Chern classes. These give rise to $p$-torsion elements in the kernel of the cycle map from the Chow ring to ordinary cohomology first obtained by Totaro.
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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
  • MR Author ID: 185110
  • Email: yagita@mito.ipc.ibaraki.ac.jp
  • Received by editor(s): March 29, 1999
  • Published electronically: August 8, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 1039-1054
  • MSC (2000): Primary 55P35, 57T25; Secondary 55R35, 57T05
  • DOI: https://doi.org/10.1090/S0002-9947-00-02647-7
  • MathSciNet review: 1804412