Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups $ PU(p)$ and exceptional Lie groups


Authors: Masaki Kameko and Nobuaki Yagita
Journal: Trans. Amer. Math. Soc. 360 (2008), 2265-2284
MSC (2000): Primary 55P35, 57T25; Secondary 55R35, 57T05
Published electronically: December 20, 2007
MathSciNet review: 2373313
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 55P35, 57T25, 55R35, 57T05

Retrieve articles in all journals with MSC (2000): 55P35, 57T25, 55R35, 57T05


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
Email: yagita@mx.ibaraki.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9947-07-04425-X
PII: S 0002-9947(07)04425-X
Keywords: $BP$-theory, $PU(p)$, exceptional Lie groups
Received by editor(s): November 2, 2005
Published electronically: December 20, 2007
Article copyright: © Copyright 2007 American Mathematical Society