Factorizations of free actions of finite groups on compact 𝑄-manifolds

Liem, Vo Thanh

doi:10.1090/S0002-9939-1979-0532162-9

Factorizations of free actions of finite groups on compact $Q$-manifolds
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Proc. Amer. Math. Soc. 75 (1979), 334-338 Request permission

Abstract:

We show that every free action of a finite group G on a compact Q-manifold ${K^k} \times Q$ is conjugate to the product of a G-free action on a regular neighborhood of K in ${{\mathbf {R}}^{2k + 1}}({{\mathbf {R}}^7}, {\text {if}}\;k = 2)$ and the identity on Q. Also, sharper results for special finite complexes K are obtained.

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