Generators For All Principal Congruence Subgroups of SL(n, Z) with n ≥3

DOI10.2307/2161024zbMath0819.20055OpenAlexW1981525833MaRDI QIDQ4313324

Balasubramanian Sury, Tyakal Nanjundiah Venkataramana

Publication date: 16 November 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2161024

zbMATH Keywords

principal congruence subgroupsfinitely generated groupscongruence subgroupssubgroups of finite index in \(\text{SL}(n,\mathbb{Z})\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Linear algebraic groups over global fields and their integers (20G30)

Related Items (8)

Freeness and 𝑆-arithmeticity of rational Möbius groups ⋮ Commutators of congruence subgroups in the arithmetic case ⋮ Zariski density and computing with \(S\)-integral groups ⋮ Algorithms for arithmetic groups with the congruence subgroup property. ⋮ Expanders, rank and graphs of groups ⋮ Generating the Johnson filtration ⋮ Linear groups and computation ⋮ Ranks of subgroups in boundedly generated groups

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