Congruence subgroup growth of arithmetic groups in positive characteristic.

DOI10.1215/S0012-7094-03-11726-3zbMath1036.20043OpenAlexW2077623954MaRDI QIDQ1394592

Nikolay Nikolov, Miklós Abért, Balázs Szegedy

Publication date: 22 September 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-03-11726-3

zbMATH Keywords

arithmetic groupsanalytic groupscongruence subgroup growthnumbers of open subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Linear algebraic groups over global fields and their integers (20G30) Lie algebras of linear algebraic groups (17B45) Limits, profinite groups (20E18)

Related Items (3)

Subgroup growth in some profinite Chevalley groups ⋮ Counting lattices in simple Lie groups: the positive characteristic case ⋮ Commensurability growths of algebraic groups

Cites Work

• Hilbert functions of graded algebras
• On some \(\Lambda\)-analytic pro-\(p\) groups
• Subgroup growth.
• Subgroup growth and congruence subgroups
• Growth Functions, p -Adic Analytic Groups, and Groups of Finite Coclass
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
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