On topological actions of finite, non-standard groups on spheres

Bruno P. Zimmermann

doi:10.1007/s00605-016-0959-0

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arXiv · 1602.04599

On topological actions of finite, non-standard groups on spheres

Bruno P. Zimmermann

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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.

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BibTeX RIS

Bruno P. Zimmermann. 2016-07-19. On topological actions of finite, non-standard groups on spheres. https://doi.org/10.1007/s00605-016-0959-0

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