Groups acting on cubes and Kazhdan's property (T)

被引：41

作者：

Niblo, GA ^{[1
]}

Roller, MA

机构：

[1] Univ Southampton, Fac Math Studies, Southampton SO17 1BJ, Hants, England

[2] Univ Regensburg, D-93040 Regensburg, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 03期

关键词：

geometric group theory ends; Kazhdan's property (T);

D O I：

10.1090/S0002-9939-98-04463-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a group G contains a subgroup K with e(G,K) > 1 if and only if it admits an action on a connected cube that is transitive on the hyperplanes and has no fixed point. As a corollary we deduce that a countable group G with such a subgroup does not satisfy Kazhdan's property (T).

引用

页码：693 / 699

页数：7

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