Congruence hulls in \(SL_ n\)

DOI10.1016/0022-4049(93)90056-YzbMath0791.20054MaRDI QIDQ689268

Alexander W. Mason

Publication date: 13 July 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexcongruence subgroupsDedekind rings of arithmetic typecongruence hulls

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (8)

Quotients of the congruence kernels of \(\text{SL}_ 2\) over arithmetic Dedekind domains ⋮ Linear groups over general rings. I: Generalities. ⋮ Non-normal, standard subgroups of the Bianchi groups ⋮ On the generators of elementary subgroups of general linear groups ⋮ The congruence kernel of an arithmetic lattice in a rank one algebraic group over a local field ⋮ On the concept of level for subgroups of \(\text{SL}_2\) over arithmetic rings ⋮ Free quotients of congruence subgroups of the Serre groups and unipotent matrices ⋮ The minimum index of a non-congruence subgroup of \(\text{SL}_2\) over an arithmetic domain

Cites Work

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• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE
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