Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups $PU(p)$ and exceptional Lie groups
HTML articles powered by AMS MathViewer

by Masaki Kameko and Nobuaki Yagita PDF
Trans. Amer. Math. Soc. 360 (2008), 2265-2284 Request permission

Abstract:

For a fixed prime $p$, we compute the Brown-Peterson cohomologies of classifying spaces of $PU(p)$ and exceptional Lie groups by using the Adams spectral sequence. In particular, we see that $BP^*(BPU(p))$ and $K(n)^*(BPU(p))$ are even dimensionally generated.
References
Similar Articles
Additional Information
  • Masaki Kameko
  • Affiliation: Faculty of Regional Science, Toyama University of International Studies, Toyama, Japan
  • Email: kameko@tuins.ac.jp
  • Nobuaki Yagita
  • Affiliation: Faculty of Education, Ibaraki University, Mito, Ibaraki, Japan
  • MR Author ID: 185110
  • Email: yagita@mx.ibaraki.ac.jp
  • Received by editor(s): November 2, 2005
  • Published electronically: December 20, 2007
  • © Copyright 2007 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 360 (2008), 2265-2284
  • MSC (2000): Primary 55P35, 57T25; Secondary 55R35, 57T05
  • DOI: https://doi.org/10.1090/S0002-9947-07-04425-X
  • MathSciNet review: 2373313