The congruence subgroup problem for the free metabelian group on two generators

DOI10.4171/GGD/357zbMath1353.20013arXiv1312.3480MaRDI QIDQ2630764

David El-Chai Ben-Ezra

Publication date: 22 July 2016

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3480

zbMATH Keywords

congruence subgroup problemfree metabelian groupRomanovskii embedding

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Limits, profinite groups (20E18)

Related Items (4)

The congruence subgroup problem for finitely generated nilpotent groups ⋮ The congruence subgroup problem for low rank free and free metabelian groups ⋮ The IA-congruence kernel of high rank free metabelian groups ⋮ The congruence subgroup problem for the free metabelian group on \(n\geq 4\) generators

Cites Work

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• IA-automorphism of certain two-generator torsion-free groups
• The congruence subgroup problem.
• On a theorem of Marshall Hall
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• Residual Properties of Infinite Soluble Groups
• Braids, Links, and Mapping Class Groups. (AM-82)
• The faithfulness of the monodromy representations associated with certain families of algebraic curves

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