Group Actions on Spheres with Rank One Isotropy

Résumé du livre

Let G be a rank two finite group, and let H denote the family of all rank one p-subgroups of G, for which rankp(G) = 2. We show that a rank two finite group G which satisfies certain group-theoretic conditions admits a finite G-CW-complex X ' Sn with isotropy in H, whose fixed sets are homotopy spheres.