The homotopy type of group actions on homotopy spheres
type: Item
instance of: scholarly article
title: The homotopy type of group actions on homotopy spheres
zbMATH Open document ID: 0585.57021
DOI: 10.1007/BF01270489
author: Tammo tom Dieck
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: Let G be a finite group and A a G-complex. This paper considers the problem of finding a G-complex X containing A as subcomplex such that: 1) all isotropy groups at points of \(X\setminus A\) have prime power order and 2) X has the homotopy type of a sphere. Further, the author wants to specify the equivariant homotopy type of X for each Sylow p-subgroup of G.
Mathematics Subject Classification ID: 57S17
zbMATH DE Number: 3938063
zbMATH Keywords: finite group actions
zbMATH Keywords: extending G-complexes
zbMATH Keywords: G-complex
zbMATH Keywords: homotopy type of a sphere
zbMATH Keywords: equivariant homotopy type
MaRDI profile type: Publication
cites work: The singular set of group actions on homotopy spheres
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cites work: Q3205985
cites work: Homotopy representations of finite groups
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description: scientific article; zbMATH DE number 3938063