Weakly commensurable \(S\)-arithmetic subgroups in almost simple algebraic groups of types B and C.

DOI10.2140/ANT.2013.7.1147zbMath1285.20045arXiv1205.1458OpenAlexW2107295536MaRDI QIDQ380358

Skip Garibaldi, Andrei S. Rapinchuk

Publication date: 13 November 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1458

zbMATH Keywords

simple algebraic groupsisogenous maximal toriisomorphic maximal toriweak commensurabilityZariski-dense \(S\)-arithmetic subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over global fields and their integers (20G30) Classical groups (algebro-geometric aspects) (14L35) Classical groups (11E57)

Related Items (6)

Examples of algebraic groups of type \(G_2\) having the same maximal tori ⋮ On the fields generated by the lengths of closed geodesics in locally symmetric spaces ⋮ Linear algebraic groups with good reduction ⋮ Embeddings of maximal tori in orthogonal groups ⋮ Embeddings of maximal tori in classical groups and explicit Brauer-Manin obstruction ⋮ On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces

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