4 papers · 1 filter
The geometry of subgroups of mapping tori of free groups
Marco Linton
We show that finitely generated mapping tori of free groups have a canonical collection of maximal sub-mapping tori of finitely generated free groups with respect to which they are…
On the coherence of one-relator groups and their group algebras
Andrei Jaikin-Zapirain, Marco Linton
We prove that one-relator groups are coherent, solving a well-known problem of Gilbert Baumslag. Our proof strategy is readily applicable to many classes of groups of cohomological…
Virtually free-by-cyclic groups
Dawid Kielak, Marco Linton
We obtain a homological characterisation of virtually free-by-cyclic groups among groups that are hyperbolic and virtually compact special. As a consequence, we show that many grou…
One-relator hierarchies
Marco Linton
We prove that one-relator groups with negative immersions are hyperbolic and virtually special; this resolves a recent conjecture of Louder and Wilton. As a consequence, one-relato…