7 papers · 1 filter
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…
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…
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…
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…
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…
The theory of one-relator groups: history and recent progress
Marco Linton, Carl-Fredrik Nyberg-Brodda
The theory of one-relator groups is now almost a century old. The authors therefore feel that a comprehensive survey of this fascinating subject is in order, and this document is a…