Hyperbolic diagram groups are free

被引：6
|
作者：
Genevois, Anthony [1 ]
机构：
[1] Univ Aix Marseille, Dept Math, Fac Sci, 3 Pl Victor Hugo, F-13331 Marseille 3, France
来源：
GEOMETRIAE DEDICATA | 2017年 / 188卷 / 01期
关键词：
Diagram groups; Hyperbolic groups; CAT (0) cube complexes; CUBE COMPLEXES; SUBGROUPS; FLATS;
D O I：
10.1007/s10711-016-0203-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the so-called diagram groups. Our main result is that finitely generated diagram groups are free if and only if they do not contain any subgroup isomorphic to . As an immediate corollary, we get that hyperbolic diagram groups are necessarily free, answering a question of Guba and Sapir.
引用
收藏
页码：33 / 50
页数：18
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