English

A remark about dihedral group actions on spheres

Geometric Topology 2014-02-26 v2 Algebraic Topology

Abstract

We show that a finite dihedral group does not act pseudofreely and locally linearly on a 2k-dimensional sphere, if k > 1. This answers a question of R. S. Kulkarni from 1982.

Cite

@article{arxiv.0907.2641,
  title  = {A remark about dihedral group actions on spheres},
  author = {Ian Hambleton},
  journal= {arXiv preprint arXiv:0907.2641},
  year   = {2014}
}

Comments

4 pages. This revision updates references to the final version of [4]

R2 v1 2026-06-21T13:25:17.982Z