Matthew J. Conder

activity

20182024

most citedDiscrete and free two-generated subgroups of

S L_{2}

over non-archimedean local fields

5 citations · 6 across the 6 of their papers we have counts for

collaborators

7 papers

math.GR2024

Lifting subgroups of $PSL_{2}$ to $SL_{2}$ over local fields

Naomi Andrew, Matthew J. Conder, Ari Markowitz +1

Let $K$ be a non-archimedean local field. We show that discrete subgroups without 2-torsion in $PSL_{2} (K)$ can always be lifted to $SL_{2} (K)$ , and provide examples…

math.GR2023

Basic Non-Archimedean Jørgensen Theory

Matthew Conder, Harris Pok Hei Leung, Jeroen Schillewaert

We prove a non-archimedean analogue of Jørgensen's inequality, and use it to deduce several algebraic convergence results. As an application we show that every dense subgroup of $\…

math.GR2022

Discrete two-generator subgroups of $PS L_{2}$ over non-archimedean local fields

Matthew J. Conder, Jeroen Schillewaert

Let $K$ be a non-archimedean local field with residue field of characteristic $p$ . We give necessary and sufficient conditions for a two-generator subgroup $G$ of $PS L_{2} (K)$ …

math.GR2021

Discrete and free groups acting on locally finite trees

Matthew J. Conder

We present an algorithm to decide whether or not a finitely generated subgroup of the isometry group of a locally finite simplicial tree is both discrete and free. The correctness…

math.GR2021★ 1 cited

A strong Schottky lemma on $n$ generators for $CAT (0)$ spaces

Matthew J. Conder, Jeroen Schillewaert

We give a criterion for a set of $n$ hyperbolic isometries of a $CAT (0)$ metric space $X$ to generate a free group on $n$ generators. This extends a result by Alperin, Far…

math.GR2019★ 5 cited

Discrete and free two-generated subgroups of $S L_{2}$ over non-archimedean local fields

Matthew J. Conder

We present a practical algorithm which, given a non-archimedean local field $K$ and any two elements $A, B \in S L_{2} (K)$ , determines after finitely many steps whether or not the…

math.GR2018

Further Rigid Triples of Classes in $G_{2}$

Matthew Conder, Alastair Litterick

We establish the existence of two rigid triples of conjugacy classes in the algebraic group $G_{2}$ in characteristic $5$ , complementing results of the second author with Liebeck a…

Lifting subgroups of PSL2​ to SL2​ over local fields

Basic Non-Archimedean Jørgensen Theory

Discrete two-generator subgroups of PSL2​ over non-archimedean local fields

Discrete and free groups acting on locally finite trees

A strong Schottky lemma on n generators for CAT(0) spaces

Discrete and free two-generated subgroups of SL2​ over non-archimedean local fields

Further Rigid Triples of Classes in G2​

Lifting subgroups of $PSL_{2}$ to $SL_{2}$ over local fields

Discrete two-generator subgroups of $PS L_{2}$ over non-archimedean local fields

A strong Schottky lemma on $n$ generators for $CAT (0)$ spaces

Discrete and free two-generated subgroups of $S L_{2}$ over non-archimedean local fields

Further Rigid Triples of Classes in $G_{2}$