D. I. Cartwright

most citedFinding generators and relations for groups acting on the hyperbolic ball

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

collaborators

2 papers

math.NT2021★ 1 cited

A refinement of Bézout's Lemma, and order 3 elements in some quaternion algebras over $Q$

Donald I. Cartwright, Xavier Roulleau

Given coprime positive integers $d^{'}, d^{''}$ , Bézout's Lemma tells us that there are integers $u, v$ so that $d^{'} u - d^{''} v = 1$ . We show that, interchanging $d^{'}$ and $d^{''}$ if necessary, we ma…

math.GR2017★ 1 cited

Finding generators and relations for groups acting on the hyperbolic ball

Donald I. Cartwright, Tim Steger

In order to enumerate the fake projective planes, as announced in~\cite{CS}, we found explicit generators and a presentation for each maximal arithmetic subgroup $Γ ˉ$ of~$PU(2,1…

A refinement of Bézout's Lemma, and order 3 elements in some quaternion algebras over Q

Finding generators and relations for groups acting on the hyperbolic ball

A refinement of Bézout's Lemma, and order 3 elements in some quaternion algebras over $Q$