The extremal symmetry of arithmetic simplicial complexes

DOI10.1016/j.aim.2012.05.021zbMath1255.22008arXiv1006.3730OpenAlexW2962736394MaRDI QIDQ452048

Amir Mohammadi, Benson Farb

Publication date: 19 September 2012

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

Full work available at URL: https://arxiv.org/abs/1006.3730

zbMATH Keywords

latticerigiditynon-Archimedean local fieldBruhat-Tits buildingsimplicial structure

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Discrete subgroups of Lie groups (22E40)

Cites Work

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• Discrete subgroups acting transitively on vertices of a Bruhat-Tits building
• Explicit constructions of Ramanujan complexes of type \(\widetilde A_d\).
• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Homomorphismes abstraits de groupes algébriques simples
• On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic
• Ramanujan graphs
• Buildings of spherical type and finite BN-pairs
• Strong approximation for semi-simple groups over function fields
• A family of \(\widetilde A_n\)-groups
• Isometries, rigidity and universal covers
• Buildings
• The Structure of Affine Buildings. (AM-168)

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