FINITARY GROUP COHOMOLOGY AND GROUP ACTIONS ON SPHERES

被引：1
|
作者：
Hamilton, Martin [1 ]
机构：
[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2008年 / 51卷
关键词：
cohomology of groups; finitary functors; group actions on spheres;
D O I：
10.1017/S0013091507000430
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that if G is an infinitely generated locally (polycyclic-by-finite) group with cohomology almost-everywhere finitary, then every finite subgroup of G acts freely and orthogonally on some sphere.
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页码：651 / 655
页数：5
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