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An Artin Relation (Mod 2) For Finite Group Actions On Spheres, Ronald M. Dotzel
An Artin Relation (Mod 2) For Finite Group Actions On Spheres, Ronald M. Dotzel
Ronald Dotzel
Recently it has been shown that whenever a finite group G (not a /7-group) acts on a homotopy sphere there is no general numerical relation which holds between the various formal dimensions of the fixed sets of ^-subgroups (p dividing the order of (7). However, if G is dihedral of order 2q (q an odd prime power) there is a numerical relation which holds (mod 2). In this paper, actions of groups G which are extensions of an odd order /?-group by a cyclic 2-group are considered and a numerical relation (mod 2) is found to be satisfied (for such …