Counting congruence subgroups.

DOI10.1007/BF02392551zbMath1159.20329arXivmath/0406249WikidataQ102355515 ScholiaQ102355515MaRDI QIDQ557396

Dorian Goldfeld, Alexander Lubotzky, László Pyber

Publication date: 29 June 2005

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406249

zbMATH Keywords

Riemann surfacesrings of integersalgebraic number fieldsmodular groupnumbers of subgroupscongruence subgroupsarithmetic groupssemisimple simply-connected connected algebraic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Asymptotic results on counting functions for algebraic and topological structures (11N45) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (10)

Counting subgroups of fixed order in finite abelian groups ⋮ Counting and effective rigidity in algebra and geometry ⋮ Counting lattices in simple Lie groups: the positive characteristic case ⋮ Manifolds counting and class field towers ⋮ Rigidity of geometric structures ⋮ Counting maximal arithmetic subgroups. Appendix by Jordan Ellenberg and Akshay Venkatesh ⋮ CLASSIFICATION OF THE SUBLATTICES OF A LATTICE ⋮ Subgroup growth of lattices in semisimple Lie groups ⋮ Counting non-uniform lattices ⋮ On distinct finite covers of 3-manifolds

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