Normal subgroups of 𝑃𝑆𝐿₂(𝑍[√-3])

DOI10.1090/S0002-9939-96-03429-6zbMath0858.20036OpenAlexW1553596185MaRDI QIDQ4717058

Roger C. Alperin

Publication date: 30 January 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03429-6

zbMATH Keywords

Bianchi groupssubgroups of finite indexfree products with amalgamationcongruence subgroupsactionsproperty FAHNN-groupscontractible simplicial complextriangles of finite groups

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) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Other matrix groups over rings (20H25) Minima of forms (11H50)

Related Items (3)

Linear groups over general rings. I: Generalities. ⋮ Absolute profinite rigidity and hyperbolic geometry ⋮ Platonic Triangles of Groups

Cites Work

• Homology of \(\mathrm{SL}_2(\mathbb Z[\omega)\)]
• Locally compact groups acting on trees and property T
• Le problème des groupes de congruence pour \(SL_2\)
• The Normal Subgroup Structure of the Picard Group
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