GROUPS WITH GRAPHICAL C(6) AND C(7) SMALL CANCELLATION PRESENTATIONS

被引：0

作者：

Gruber, Dominik ^{[1
]}

机构：

[1] Univ Vienna, Dept Math, A-1090 Vienna, Austria

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 03期

关键词：

Small cancellation theory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend fundamental results of small cancellation theory to groups whose presentations satisfy the generalizations of the classical C(6) and C(7) conditions in graphical small cancellation theory. Using these graphical small cancellation conditions, we construct lacunary hyperbolic groups and groups that coarsely contain prescribed infinite sequences of finite graphs. We prove that groups given by (possibly infinite) graphical C(7) presentations contain non-abelian free subgroups.

引用

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页码：2051 / 2078

页数：28

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