Cyclic splittings of finitely presented groups and the canonical JSJ decomposition

• 成果类型: Article
• 署名作者: Rips, E; Sela, Z
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2951832
• 发表日期: 1997
• 页码: 53-109
• 关键词: trees

摘要

We borrow the Jaco-Shalen-Johannson notion of characteristic submanifolds from 3-dimensional topology to study cyclic splittings of finitely presented groups. The canonical JSJ decomposition we construct generalizes the one introduced in [Se1] for (Gromov) hyperbolic groups.