The fixed point set of a finite group action on a homotopy four sphere
type: Item
instance of: scholarly article
title: The fixed point set of a finite group action on a homotopy four sphere
zbMATH Open document ID: 0682.57022
published in: L'Enseignement Mathématique. 2e Série
publication date: 1989-01-01T00:00:00Z
review text: This paper proves that if G is a finite group acting locally linearly and preserving orientation on a 4-dimensional \({\mathbb{Z}}\) homology sphere, then the fixed set of G is homeomorphic to a sphere. Further, if the fixed set is two points, then the local representations at the fixed points are the same. The paper briefly surveys the situation in all other dimensions, showing that dimension four is the remaining interesting case.
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 57S17
zbMATH DE Number: 4117483
zbMATH Keywords: Smith equivalent fixed points
zbMATH Keywords: finite group action
zbMATH Keywords: locally linear action
zbMATH Keywords: 4-dimensional \({\mathbb{Z}}\) homology sphere
zbMATH Keywords: fixed set
author: Stefano De Michelis
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4117483