9 papers
Finite complete rewriting systems for graphs of free groups with applications to free-by-cyclic, one-relator, and three-manifold groups
Robert D. Gray, Marco Linton
We prove that any finite graph of finitely generated free groups admits a finite complete rewriting system after possibly taking a free product with a free group of rank two. As a…
Embedding finitely generated free-by-cyclic groups in {finitely generated free}-by-cyclic groups
Marco Linton
We refine Feighn--Handel's results on subgroups of mapping tori of free groups to the special case of free-by-cyclic groups. We use these refinements to show that any finitely gene…
The finitely generated intersection property in fundamental groups of graphs of groups
Jordi Delgado, Marco Linton, Jone Lopez de Gamiz Zearra +2
A group is said to satisfy the finitely generated intersection property (f.g.i.p.) if the intersection of any two finitely generated subgroups of is again finitely generate…
Pullbacks and intersections in categories of graphs of groups
Jordi Delgado, Marco Linton, Jone Lopez de Gamiz Zearra +2
We develop a categorical framework for studying graphs of groups and their morphisms, with emphasis on pullbacks. More precisely, building on classical work by Serre and Bass, we g…
Coherent RFRS groups
Sam P. Fisher, Marco Linton, Pablo Sánchez-Peralta
We prove that a finitely generated virtually RFRS group of cohomological dimension at most is coherent if and only if its second -Betti number vanishes if and only if it…
Group pairs, coherence and Farrell--Jones Conjecture for
Andrei Jaikin-Zapirain, Marco Linton, Pablo Sánchez-Peralta
A group pair consists of a group together with a -set . Such a pair encodes properties of relative to the stabilisers of points in . In this paper, we sho…