BP torsion in finite 𝐻-spaces

Kane, Richard

doi:10.1090/S0002-9947-1981-0603776-6

BP torsion in finite $H$-spaces
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Trans. Amer. Math. Soc. 264 (1981), 473-497 Request permission

Abstract:

Let $p$ be odd and $(X,\mu )$ a $1$-connected $\operatorname {mod} p$ finite $H$-space. It is shown that for $n \geqslant 1$ the Morava $K$-theories, $k{(n)_ \ast }(X)$ and $k{(n)^ \ast }(X)$, have no higher ${\upsilon _n}$ torsion. Also examples are constructed to show that ${\upsilon _1}$ torsion in $BP{\langle 1\rangle ^ \ast }(X)$ can be of arbitrarily high order.

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