Positive curvature and discrete abelian symmetry

Abstract

By replacing the torus with an elementary abelian two-group, we generalize the maximal symmetry result of Grove and Searle and the half-maximal symmetry result of Wilking for positively curved manifolds with an isometric torus action.

Slight improvement of error correcting code estimates in section 1 and a minor modification made to the statement of the Codimension Three Lemma