Lawrence Reeves

activity

20172020

most citedIrrational-slope versions of Thompson's groups

T

and

V

2 citations · 3 across the 3 of their papers we have counts for

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8 papers · 1 filter

math.GR2026

The dual of the Tits cone and dominance of Coxeter groups

Xiang Fu, Jiaqing Gu, Mengfan Lyu +3

In this paper we introduce a potentially infinite process of reflections applied to a sequence of points in the dual of the Tits cone associated with an arbitrary finitely generate…

math.GR2020

A deformation theorem for Poincaré duality pairs in dimension 3

Lawrence Reeves, Peter Scott, Gadde A. Swarup

We prove the analogue of Johannson's Deformation Theorem for PD3 pairs.

math.GR2020★ 2 cited

Irrational-slope versions of Thompson's groups $T$ and $V$

José Burillo, Brita Nucinkis, Lawrence Reeves

In this paper we consider the $T$ - and $V$ - versions, $T_{τ}$ and $V_{τ}$ , of the irrational slope Thompson group $F_{τ}$ considered in [3]. We give infinite presentations for these gro…

math.GR2020

Comparing decompositions of Poincaré duality pairs

Lawrence Reeves, Peter Scott, Gadde Swarup

Analogues of JSJ decompositions were developed for Poincaré duality pairs in [19]. These decompositions depend only on the group. Our focus will be on describing the edge splitting…

math.GR2019

Affine reflection subgroups of Coxeter groups

Xiang Fu, Lawrence Reeves, Linxiao Xu

In this paper we study affine reflection subgroups in arbitrary infinite Coxeter groups of finite rank. In particular, we study the distribution of roots of Coxeter groups in the r…

math.GR2018

Neighbourhoods in root systems of infinite Coxeter groups

Yuhan Cai, Xiang Fu, Lawrence Reeves

Let $W$ be a finitely generated infinite Coxeter group, with $Φ$ and $Π$ being the corresponding root system and set of simple roots respectively. It has been observed by Hohlweg e…