A Remark about Dihedral Group Actions on Spheres
نویسنده
چکیده
We show that a finite dihedral group does not act pseudofreely and locally linearly on an even-dimensional sphere S, with k > 1. This answers a question of R. S. Kulkarni from 1982.
منابع مشابه
Pseudofree Group Actions on Spheres
R. S. Kulkarni showed that a finite group acting pseudofreely, but not freely, preserving orientation, on an even-dimensional sphere (or suitable sphere-like space) is either a periodic group acting semifreely with two fixed points, a dihedral group acting with three singular orbits, or one of the polyhedral groups, occurring only in dimension 2. It is shown here that the dihedral group does no...
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