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- W1646175142 abstract "Given a finite group G, it is not hard to show that it can act freely on a product of spheres. A more delicate issue is the following question: what is the minimum integer k = k(G) such that G acts freely on a finite complex with the homotopy type of a product of k spheres? The study of this problem breaks up into two distinct aspects: (1) proving bounds on k(G) in terms of subgroup data for G; and (2) constructing explicit actions on a product of k spheres. In this note we will discuss aspects of both problems, including recent progress based on the periodicity methods developed in (5). We also describe a potential counterexample to the prevalent expectations as well as recent work on constructing geometric actions on actual products of spheres." @default.
- W1646175142 created "2016-06-24" @default.
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- W1646175142 date "2004-01-01" @default.
- W1646175142 modified "2023-10-17" @default.
- W1646175142 title "Constructing and deconstructing group actions" @default.
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- W1646175142 doi "https://doi.org/10.1090/conm/346/06283" @default.
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