Cubulating small cancellation groups

被引：106
作者：
Wise, DT [1 ]
机构：
[1] McGill Univ, Montreal, PQ H3A 2K6, Canada
来源：
GEOMETRIC AND FUNCTIONAL ANALYSIS | 2004年 / 14卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1007/s00039-004-0454-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the B(6) and B(4)-T(4) small cancellation groups. These classes include the usual C'(1/6) and C'(1/4)-T(4) metric small cancellation groups. We show that every finitely presented B(4)-T(4) or word-hyperbolic B(6) group acts properly discontinuously and cocompactly on a CAT(0) cube complex. We show that finitely generated infinite B(6) and B(4)-T(4) groups have codimension 1 subgroups and thus do not have property (T). We show that a finitely presented B(6) group is wordhyperbolic if and only if it contains no Z x Z subgroup.
引用
收藏
页码：150 / 214
页数：65
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