Anamalous normal subgroups of the modular group

DOI10.1080/00927878308822980zbMath0522.20032OpenAlexW1972346981MaRDI QIDQ3672169

Alexander W. Mason

Publication date: 1983

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878308822980

zbMATH Keywords

normal subgroupscongruence subgroupsmodular groupssubgroup generated by elementary matriceslattice subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Other matrix groups over rings (20H25)

Related Items (4)

The order and level of a subgroup of GL₂ over a Dedekind ring of arithmetic type ⋮ Normal subgroups of symplectic groups over rings ⋮ Standard subgroups of GL₂(A) ⋮ Standardness and standard automorphisms of Chevalley groups. I: The case of rank at least two.

Cites Work

• The linear homogeneous group. III
• Le problème des groupes de congruence pour \(SL_2\)
• Gl₂of rings with many units
• Subgroups of infinite index in the modular group
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• Classification of Normal Congruence Subgroups of the Modular Group
• Lattice subgroups of free congruence groups
• Lattice Subgroups of Normal Subgroups of Genus Zero of the Modular Group
• A Complete Description of the Normal Subgroups of Genus One of the Modular Group
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