Matthew J. Conder

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20182024

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4 papers · 1 filter

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.GR2019

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

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