activity
20052022
most citedDistinguishing geometries using finite quotients

37 citations · 259 across the 31 of their papers we have counts for

collaborators

44 papers

math.GR2022

Rational curvature invariants for 2-complexes

Henry Wilton

New invariants for 2-dimensional cell complexes are defined, which can be interpreted as curvature bounds. These invariants are proved to be rational and computable in a companion…

math.GR2022

Rationality theorems for curvature invariants of 2-complexes

Henry Wilton

Let be a finite, 2-dimensional cell complex. The curvature invariants and were defined in [13], and a programme of conjectures was outlined. Here, we prov…

math.GR2021

Uniform negative immersions and the coherence of one-relator groups

Larsen Louder, Henry Wilton

Previously, the authors proved that the presentation complex of a one-relator group satisfies a geometric condition called negative immersions if every two-generator, one-relat…

math.GR2020

On the profinite rigidity of surface groups and surface words

Henry Wilton

Surface groups are determined among limit groups by their profinite completions. As a corollary, the set of surface words in a free group is closed in the profinite topology.

math.GR2018

One-relator groups with torsion are coherent

Larsen Louder, Henry Wilton

We show that any one-relator group with torsion is coherent -- i.e., that every finitely generated subgroup of is finitely presented -- ans…

math.GR2018

Negative immersions for one-relator groups

Larsen Louder, Henry Wilton

We prove a freeness theorem for low-rank subgroups of one-relator groups. Let be a free group, and let be a non-primitive element. The primitivity rank of , ,…