A remark about dihedral group actions on spheres

Abstract

We show that a finite dihedral group does not act pseudofreely and locally linearly on an even‐dimensional sphere S2k, with k > 1. This answers a question of Kulkarni from 1982.

Authors

Hambleton I

Journal

Bulletin of the London Mathematical Society, Vol. 43, No. 1, pp. 75–78

Publisher

Wiley

Publication Date

January 1, 2011

DOI

10.1112/blms/bdq080

ISSN

0024-6093

Associated Experts

Ian Hambleton

Professor Emeritus, Faculty of Science

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Labels

Fields of Research (FoR)

4904 Pure mathematics 49 Mathematical Sciences

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