Ari Markowitz

collaborators

3 papers

math.GR2024

Recognition and constructive membership for discrete subgroups of $SL_{2} (R)$

Ari Markowitz

We provide algorithms to decide whether a finitely generated subgroup of $SL_{2} (R)$ is discrete, solve the constructive membership problem for finitely generated d…

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

Recognition and constructive membership for purely hyperbolic groups acting on trees

Ari Markowitz

We present an algorithm which takes as input a finite set $X$ of automorphisms of a simplicial tree, and outputs a generating set $X^{'}$ of $⟨ X ⟩$ such that either $\lan…

Recognition and constructive membership for discrete subgroups of SL2​(R)

Lifting subgroups of PSL2​ to SL2​ over local fields

Recognition and constructive membership for purely hyperbolic groups acting on trees

Recognition and constructive membership for discrete subgroups of $SL_{2} (R)$

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