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On groups which act freely on vector bundles over spheres

Author: F. E. A. Johnson
Journal: Proc. Amer. Math. Soc. 75 (1979), 318-320
MSC: Primary 57S30; Secondary 20J05
MathSciNet review: 532158
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Abstract: Let $ G \cong K \times Q$ be the semidirect product of a finitely presented group K of type FP and a finite group Q of periodic cohomology. It is shown that G acts freely and properly discontinuously on a vector bundle over a sphere.

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Keywords: Group of type VFP, periodic Farrell cohomology, fibre smoothing theorem, free proper discontinuous action
Article copyright: © Copyright 1979 American Mathematical Society

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