Height in Splittings of Hyperbolic Groups
[摘要] Suppose ð» is a hyperbolic subgroup of a hyperbolic group ðº. Assume there exists ð‘› > 0 such that the intersection of ð‘› essentially distinct conjugates of ð» is always finite. Further assume ðº splits over ð» with hyperbolic vertex and edge groups and the two inclusions of ð» are quasi-isometric embeddings. Then ð» is quasiconvex in ðº. This answers a question of Swarup and provides a partial converse to the main theorem of [23].
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] Hyperbolic groups;quasi-isometric embeddings;splittings of groups. [时效性]
