Uniform negative immersions and the coherence of one-relator groups

Autor:	Louder, Larsen, Wilton, Henry
Rok vydání:	2021
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	Previously, the authors proved that the presentation complex of a one-relator group $G$ satisfies a geometric condition called negative immersions if every two-generator, one-relator subgroup of $G$ is free. Here, we prove that one-relator groups with negative immersions are coherent, answering a question of Baumslag in this case. Other strong constraints on the finitely generated subgroups also follow such as, for example, the co-Hopf property. The main new theorem strengthens negative immersions to uniform negative immersions, using a rationality theorem proved with linear-programming techniques. Comment: 41 pages, 3 figures. Version 2 incorporates referees' comments and corrections. This is the final version accepted for publication
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.08911 Zobrazit plný text záznamu View this record from Arxiv