Lawrence Reeves

IRRATIONAL-SLOPE VERSIONS OF THOMPSON'S GROUPS T AND V

Jose Burillo, Brita Nucinkis, Lawrence Reeves

Journal article  |  2022  |  PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

In this paper, we consider the - and -versions, and, of the irrational slope Thompson group considered in J. Burillo, B. Nucinkis ..

An irrational-slope Thompson’s group

J Burillo, B Nucinkis, L Reeves

Journal article  |  2021  |  Publicacions Matematiques

The purpose of this paper is to study the properties of the irrational-slope Thompson’s group Fτ introduced by Cleary in [11]. We ..

AN IRRATIONAL-SLOPE THOMPSON'S GROUP

Jose Burillo, Brita Nucinkis, Lawrence Reeves

Journal article  |  2021  |  PUBLICACIONS MATEMATIQUES

Commutators in groups of piecewise projective homeomorphisms

Jose Burillo, Yash Lodha, Lawrence Reeves

Journal article  |  2018  |  ADVANCES IN MATHEMATICS

In [7] Monod introduced examples of groups of piecewise projective homeomorphisms which are not amenable and which do not contain ..

Non-contracting groups generated by (3,2)-automata

Nick Davis, Murray Elder, Lawrence Reeves

Journal article  |  2014  |  ALGEBRA & DISCRETE MATHEMATICS

We add to the classification of groups generated by 3-state automata over a 2-letter alphabet given by Bondarenko et al., by showi..

ON THE GENUS OF INFINITE GROUPS

Iain Aitchison, Lawrence Reeves

Journal article  |  2012  |  MATHEMATICAL RESEARCH LETTERS

We associate to each finite presentation of a group G a compact CWcomplex that is a 3-manifold in the complement of a point, and w..

On the algorithmic construction of classifying spaces and the isomorphism problem for biautomatic groups

Martin R Bridson, Lawrence Reeves

Journal article  |  2011  |  SCIENCE CHINA-MATHEMATICS

We show that the isomorphism problem is solvable in the class of central extensions of word-hyperbolic groups, and that the isomor..

A Combination Theorem for strong relative hyperbolicity

Mahan Mj, Lawrence Reeves

Journal article  |  2008  |  GEOMETRY & TOPOLOGY

We prove a combination theorem for trees of (strongly) relatively hyperbolic spaces and finite graphs of (strongly) relatively hyp..

Uniform non-amenability

GN Arzhantseva, J Burillo, M Lustig, L Reeves, H Short, E Ventura

Journal article  |  2005  |  ADVANCES IN MATHEMATICS

For any finitely generated group G an invariant Føl G ≥ 0 is introduced which measures the "amount of non-amenability" of G. If G ..

Coxeter groups act on CAT(0) cube complexes

GA Niblo, LD Reeves

Journal article  |  2003  |  JOURNAL OF GROUP THEORY

We show that any finitely generated Coxeter group acts properly discontinuously on a locally finite, finite-dimensional CAT(0) cub..