Presentations for QuaternionicS-Unit Groups

DOI10.1080/10586458.2014.968269zbMath1332.20050arXiv1404.6091OpenAlexW2950434965MaRDI QIDQ5264651

Michiel Kosters, Ted Chinburg, Ying Zhang, Paul Ziegler, Matthew Stover, Bhairav Singh, Holley Friedlander, Sean Howe

Publication date: 27 July 2015

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6091

zbMATH Keywords

presentationsquaternion algebrascongruence subgroup problemarithmetic subgroups\(S\)-unitslinear algebraic groups over number fields

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Linear algebraic groups over global fields and their integers (20G30) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Orders in separable algebras (16H10)

Related Items (4)

Simply transitive quaternionic lattices of rank 2 over_q(t) and a non-classical fake quadric ⋮ Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2 ⋮ Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes ⋮ Computing S-unit groups of orders

Cites Work

• Unnamed Item
• Free quotients and the congruence kernel of \(SL_ 2\).
• The Magma algebra system. I: The user language
• The congruence subgroup problem.
• Le problème des groupes de congruence pour \(SL_2\)
• Groups of homeomorphisms of a simply connected space
• On embeddings of \(\text{SL}(2,\mathbb Z)\) into quaternion groups.

This page was built for publication: Presentations for QuaternionicS-Unit Groups