Group Actions on Spheres with Rank One Prime Power Isotropy
نویسنده
چکیده
We show that a rank two finite group G admits a finite G-CW-complex X ' S with rank one prime power isotropy if and only if G does not p′-involve Qd(p) for any odd prime p. This follows from a more general theorem which allows us to construct a finite G-CW-complex by gluing together a given G-invariant family of representations defined on the Sylow subgroups of G.
منابع مشابه
Group Actions on Spheres with Rank One Isotropy
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 ' S with isotropy in H, whose fixed sets are homotopy spheres.
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تاریخ انتشار 2015