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25 April 2024

» arxiv » 1602.4599

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A note on topological actions of finite, non-standard groups on spheres
Bruno P. Zimmermann ;
Date:	15 Feb 2016
Abstract:	The standard actions of finite groups on spheres S^d are linear actions, i.e. by finite subgroups of the orthogonal group O(d+1). We prove that, in each dimension d>5, there is a finite group G which admits a faithful, topological action on a sphere S^d but is not isomorphic to a subgroup of O(d+1). The situation remains open for smooth actions.
Source:	arXiv, 1602.4599
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