Hyperbolic groups with almost finitely presented subgroups

被引：3

作者：

Kropholler, Peter H. ^{[1
]}

Vigolo, Federico ^{[1
]}

机构：

[1] Univ Munster, Fac Math & Comp Sci, Einsteinstr 62, D-48149 Munster, Germany

来源：

GROUPS GEOMETRY AND DYNAMICS | 2022年 / 16卷 / 01期

关键词：

Hyperbolic groups; CAT(0) cube complexes; finiteness properties; COMPLEXES; PRODUCTS;

D O I：

10.4171/GGD/644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we create many examples of hyperbolic groups with subgroups satisfying interesting finiteness properties. We give the first examples of subgroups of hyperbolic groups which are of type FP2 but not finitely presented. We give uncountably many groups of type FP2 with similar properties to those subgroups of hyperbolic groups. Along the way we create more subgroups of hyperbolic groups which are finitely presented but not of type FP3.

引用

页码：153 / 178

页数：26

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