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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A $ p$-local splitting of $ B{\rm U}(n)$


Author: Kenshi Ishiguro
Journal: Proc. Amer. Math. Soc. 95 (1985), 307-311
MSC: Primary 55R35; Secondary 55R40
MathSciNet review: 801344
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Abstract: Let $ p$ be a prime and let $ n > 1$. A necessary and sufficient condition that the classifying space $ BU(n)$ is $ p$-equivalent to the product of nontrivial spaces is that $ p$ does not divide $ n$.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0801344-3
Keywords: Classifying spaces, Steenrod operations, modular representations
Article copyright: © Copyright 1985 American Mathematical Society