Mapping tori of free group automorphisms are coherent

• 成果类型: Article
• 署名作者: Feighn, M; Handel, M
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/121081
• 发表日期: 1999
• 页码: 1061-1077
• 关键词: negatively curved groups; SUBGROUPS; graphs

摘要

The mapping torus of an endomorphism Phi of a group G is the HNN-extension G*(G) with bonding maps the identity and Phi. We show that a mapping torus of an injective free group endomorphism has the property that its finitely generated subgroups are finitely presented and, moreover, these subgroups are of finite type.