Qd(p)-FREE RANK TWO FINITE GROUPS ACT FREELY ON A HOMOTOPY PRODUCT OF TWO SPHERES
نویسنده
چکیده
A classic result of Swan states that a finite group G acts freely on a finite homotopy sphere if and only if every abelian subgroup of G is cyclic. Following this result, Benson and Carlson conjectured that a finite group G acts freely on a finite complex with the homotopy type of n spheres if the rank of G is less than or equal to n. Recently, Adem and Smith have shown that every rank two finite p-group acts freely on a finite complex with the homotopy type of two spheres. In this paper we will make further progress, showing that rank two groups that are Qd(p)-free act freely on a finite homotopy product of two spheres. 2000 MSC: 57Q91, 55R25, 20C15, 20E15
منابع مشابه
Most Rank Two Finite Groups Act Freely on a Homotopy Product of Two Spheres
A classic result of Swan states that a finite group G acts freely on a finite homotopy sphere if and only if every abelian subgroup of G is cyclic. Following this result, Benson and Carlson conjectured that a finite group G acts freely on a finite complex with the homotopy type of n spheres if the rank of G is less than or equal to n. Recently, Adem and Smith have shown that every rank two fini...
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