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Proceedings of the American Mathematical Society

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

 

 

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


Author: Vo Thanh Liem
Journal: Proc. Amer. Math. Soc. 75 (1979), 334-338
MSC: Primary 57S17; Secondary 57N20
DOI: https://doi.org/10.1090/S0002-9939-1979-0532162-9
MathSciNet review: 532162
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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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DOI: https://doi.org/10.1090/S0002-9939-1979-0532162-9
Keywords: Hilbert cube manifold, lens space, Whitehead torsion, Poincaré complex, h-cobordism, regular neighborhood, covering space
Article copyright: © Copyright 1979 American Mathematical Society