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- W4299516337 abstract "A discrete group G has periodic cohomology over R if there is an element in a cohomology group, cup product with which induces an isomorphism in cohomology after a certain dimension. Adem and Smith showed if R = Z, then this condition is equivalent to the existence of a finite dimensional free-G-CW- complex homotopy equivalent to a sphere. It has been conjectured by Olympia Talelli, that if G is also torsion-free then it must have finite cohomological di- mension. In this paper we use the implied condition of jump cohomology over R to prove the conjecture for HF-groups and solvable groups. We also find necessary conditions for free and proper group actions on finite dimensional complexes homotopy equivalent to closed, orientable manifolds." @default.
- W4299516337 created "2022-10-02" @default.
- W4299516337 creator A5072497740 @default.
- W4299516337 date "2005-04-06" @default.
- W4299516337 modified "2023-10-18" @default.
- W4299516337 title "Jumps in cohomology and free group actions" @default.
- W4299516337 doi "https://doi.org/10.48550/arxiv.math/0504122" @default.
- W4299516337 hasPublicationYear "2005" @default.
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