Finite group actions on the 7-sphere
type: Item
instance of: scholarly article
title: Finite group actions on the 7-sphere
zbMATH Open document ID: 0996.57021
author: Hansjörg Geiges
author: Charles B. Thomas
published in: L'Enseignement Mathématique. 2e Série
publication date: 2002-11-06T00:00:00Z
review text: By only using classical results about finite group actions on spheres, the authors obtain the following two results: (1) Let \(\pi\) be a finite group acting freely and topologically on \(S^7\). Then \(\pi\) can also act freely and linearly on \(S^7\). (2) For odd natural numbers \(2s-1\) different from 1, 3 or 7, one can always find a free smooth action on \(S^{2s-1}\) by a finite group which cannot act freely and linearly.
reviewed by: Zhi Lü
Mathematics Subject Classification ID: 57S17
zbMATH DE Number: 1736569
zbMATH Keywords: free action
zbMATH Keywords: linear action
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1736569