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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Brown-Peterson and ordinary cohomology theories of classifying spaces for compact Lie groups
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by Akira Kono and Nobuaki Yagita
Trans. Amer. Math. Soc. 339 (1993), 781-798
DOI: https://doi.org/10.1090/S0002-9947-1993-1139493-4

Abstract:

The Steenrod algebra structures of ${H^\ast }(BG;Z/p)$ for compact Lie groups are studied. Using these, Brown-Peterson cohomology and Morava $K$-theory are computed for many concrete cases. All these cases have properties similar as torsion free Lie groups or finite groups, e.g., $B{P^{odd}}(BG) = 0$.
References
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Bibliographic Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 339 (1993), 781-798
  • MSC: Primary 55N20; Secondary 55N22
  • DOI: https://doi.org/10.1090/S0002-9947-1993-1139493-4
  • MathSciNet review: 1139493