Montreal Geometric & Combinatorial Group Theory Seminar



Speaker: Inna Bumagin (McGill)

Title: “On the coherence of coherent-by-cyclic groups

Date: 3:30pm Wednesday, February 12th.

Room: 920 Burnside


Abstract: A group G is called coherent, if any finitely generated subgroup of G is finitely presented. Examples of coherent groups include fundamental groups of 3-manifolds, fundamental groups of graphs of groups with coherent vertex groups and Noetherian edge groups, most one-relator groups with torsion. Cyclic extensions of coherent groups are not necessarily coherent. We prove that cyclic extensions of coherent hyperbolic groups are coherent. This is a joint work with D.Wise.