On the proportionality of covolumes of discrete subgroups

DOI10.1007/BF01458457zbMath0579.22014OpenAlexW2084673576MaRDI QIDQ1067021

Jürgen Rohlfs, Gregory A. Margulis

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164143

zbMATH Keywords

invariant measureclassification of maximal arithmetic subgroupsdiscrete subgroup of finite covolumeintegral covolumeLie group without compact factorsp-adic semisimple Lie groups

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Representations of Lie and linear algebraic groups over local fields (22E50) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

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Cites Work

• Die maximalen arithmetisch definierten Untergruppen zerfallender einfacher Gruppen
• Groupes reductifs
• Discrete groups of motions of manifolds of nonpositive curvature
• Density and maximality of arithmetic subgroups.
• THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS
• A Gauss-Bonnet formula for discrete arithmetically defined groups
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