2 citations · 5 across the 8 of their papers we have counts for
8 papers
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…
Group rings of three-manifold groups
Dawid Kielak, Marco Linton
Let be the fundamental group of a three-manifold. By piecing together many known facts about three manifold groups, we establish two properties of the group ring .…
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…
Hyperbolic one-relator groups
Marco Linton
We introduce two families of two-generator one-relator groups called primitive extension groups and show that a one-relator group is hyperbolic if its primitive extension subgroups…
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…
The fully compressed subgroup membership problem
Marco Linton
Suppose that is a free group and is a natural number. We show that the fully compressed membership problem for -generated subgroups of is solvable in polynomial time…
On the intersections of finitely generated subgroups of free groups: reduced rank to full rank
Marco Linton
We show that the number of conjugacy classes of intersections , for fixed finitely generated subgroups of a free group, is bounded above in terms of the ranks o…