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math.GR2026
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…
math.GR2026
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…