A 𝑝-local splitting of 𝐵𝑈(𝑛)

Ishiguro, Kenshi

doi:10.1090/S0002-9939-1985-0801344-3

A $p$-local splitting of $B\textrm {U}(n)$
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Proc. Amer. Math. Soc. 95 (1985), 307-311 Request permission

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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