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math.GR2022★ 1 cited
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…
math.GR2022★ 2 cited
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…