The Coherence of One-Relator Groups

Explore a mathematical lecture on the coherence of one-relator groups, presented by Marco Linton as part of the Workshop on Geometry of Subgroups. Delve into Baumslag's well-known conjecture that all one-relator groups are coherent. Learn about the concept of coherence in group theory, where a group is considered coherent if all of its finitely generated subgroups are finitely presented. Follow along as the speaker outlines a proof of this conjecture and discusses its applications. Gain insights into the collaborative work with Andrei Jaikin-Zapirain on this topic. This 51-minute lecture, organized by the Centre de recherches mathématiques (CRM), offers a deep dive into an important area of group theory and geometric topology.