Some examples of separable convex-cocompact subgroups

被引：1

作者：

Hagen, Mark ^{[1
,4
]}

Sisto, Alessandro ^{[2
,3
]}

机构：

[1] Univ Bristol, Sch Math, Bristol, England

[2] Heriot Watt Univ, Maxwell Inst, Edinburgh, Scotland

[3] Heriot Watt Univ, Dept Math, Edinburgh, Scotland

[4] Univ Bristol, Sch Math, Woodland Rd, Bristol BS8 1UG, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2023年 / 55卷 / 05期

关键词：

UNIFORM HYPERBOLICITY; FINITENESS; GEOMETRY; COMPLEX; GRAPHS;

D O I：

10.1112/blms.12848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Reid asked whether all convex-cocompact subgroups of mapping class groups are separable. Using a construction of Manning-Mj-Sageev, we give examples of separable convex-cocompact subgroups that are free of arbitrary finite rank, while prior examples seem to all be virtually cyclic.

引用

页码：2242 / 2257

页数：16