9 citations · 53 across the 22 of their papers we have counts for
7 papers · 2 filters
Homological growth of Artin kernels in positive characteristic
Sam P. Fisher, Sam Hughes, Ian J. Leary
We prove an analogue of the Lück Approximation Theorem in positive characteristic for certain residually finite rationally soluble (RFRS) groups including right-angled Artin groups…
Torsion homology growth of polynomially growing free-by-cyclic groups
Naomi Andrew, Sam Hughes, Monika Kudlinska
We show that the homology torsion growth of a free-by-cyclic group with polynomially growing monodromy vanishes in every dimension independently of the choice of Farber chain. It f…
Profinite rigidity of fibring
Sam Hughes, Dawid Kielak
We introduce the classes of TAP groups, in which various types of algebraic fibring are detected by the non-vanishing of twisted Alexander polynomials. We show that finitely presen…
Regularity of quasigeodesics characterises hyperbolicity
Sam Hughes, Patrick S. Nairne, Davide Spriano
We characterise hyperbolic groups in terms of quasigeodesics in the Cayley graph forming regular languages. We also obtain a quantitative characterisation of hyperbolicity of geode…
Commensurating HNN-extensions: hierarchical hyperbolicity and biautomaticity
Sam Hughes, Motiejus Valiunas
We construct a CAT(0) hierarchically hyperbolic group (HHG) acting geometrically on the product of a hyperbolic plane and a locally-finite tree which is not biautomatic. This gives…
Hyperbolically embedded subgroups and quasi-isometries of pairs
Sam Hughes, Eduardo Martínez-Pedroza
We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolically embedded. We consider applications to the quasi-isometry and commensurability…
Irreducible lattices fibring over the circle
Sam Hughes
We investigate the Bieri--Neumann--Strebel--Renz (BNSR) invariants of irreducible uniform lattices. In the case of a direct product of a tree and a Euclidean space we show that van…