Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2

DOI10.1142/S0218196718500467zbMath1461.20009arXiv1707.09925OpenAlexW3103523377MaRDI QIDQ4687483

Nithi Rungtanapirom

Publication date: 12 October 2018

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09925

zbMATH Keywords

groups acting on treessurfaces of general typesquare complexesfake quadricsquaternionic arithmetic lattices

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30) Surfaces of general type (14J29) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Groups acting on trees (20E08)

Related Items (1)

Simply transitive quaternionic lattices of rank 2 over_q(t) and a non-classical fake quadric

Uses Software

• fakequadrics

Cites Work

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• Mixed quasi-étale surfaces, new surfaces of general type with \(p_g=0\) and their fundamental group
• On computing quaternion quotient graphs for function fields
• Fake quadrics from irreducible lattices acting on the product of upper half planes
• The classification of surfaces with \(p_g=q=0\) isogenous to a product of curves
• Ramanujan graphs
• Arithmétique des algèbres de quaternions
• A class of algebraic surfaces of general type constructed from quaternion algebras
• Cohomologie d'immeubles et de groupes S-arithmétiques
• Existence and explicit constructions of \(q+1\) regular Ramanujan graphs for every prime power \(q\)
• Actions of Cartan subgroups
• Complete square complexes.
• Generators and relations for certain special linear groups
• On finite arithmetic simplicial complexes
• Explizite Präsentation gewisser Hilbertscher Modulgruppen durch Erzeugende und Relationen.
• An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0
• NONARCHIMEDEAN UNIFORMIZATION
• Arithmetic groups over function fields I
• Presentations for QuaternionicS-Unit Groups
• Simply transitive quaternionic lattices of rank 2 over_q(t) and a non-classical fake quadric
• On the Fundamental Group of a Transformation Group
• Lattices in product of trees

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