A remark about dihedral group actions on spheres
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🧮 math.GT
math.AT
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dihedralgroupactionsanswersfinitek-dimensionalkulkarnilinearly
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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.
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