A conjecture on the 𝑝-regularity of an 𝐻-space

Hubbuck, J. R.

doi:10.1090/S0002-9939-1980-0548104-4

A conjecture on the $p$-regularity of an $H$-space
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Proc. Amer. Math. Soc. 78 (1980), 149-153 Request permission

Abstract:

It is shown that a compact, simply connected, Lie group G is p-regular if and only if ${K_o}(\Omega G,Z/pZ)$ is a primitively generated polynomial algebra. It is conjectured that this remains true for G a finite, simply connected, associative, H-space.

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