Profinite surface groups and the congruence kernel of arithmetic lattices in \(\text{SL}_2(\mathbb{R})\).

DOI10.1007/BF02773529zbMath1076.20020OpenAlexW1970863548MaRDI QIDQ1781934

Pavel A. Zalesskii

Publication date: 9 June 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773529

zbMATH Keywords

free profinite groupscharacteristic subgroupscongruence subgroup problemarithmetic latticesaccessible subgroupsprofinite surface groupsprojective subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Discrete subgroups of Lie groups (22E40) Fundamental group, presentations, free differential calculus (57M05) Limits, profinite groups (20E18)

Related Items (4)

On the congruence kernel for simple algebraic groups ⋮ Semi-free subgroups of a profinite surface group ⋮ The congruence kernel of an arithmetic lattice in a rank one algebraic group over a local field ⋮ Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic

Cites Work

• Arithmétique des algèbres de quaternions
• Séminaire de géométrie algébrique du Bois Marie 1960/61 (SGA 1), dirigé par Alexander Grothendieck. Augmenté de deux exposés de M. Raynaud. Revêtements étales et groupe fondamental. Exposés I à XIII. (Seminar on algebraic geometry at Bois Marie 1960/61 (SGA 1), directed by Alexander Grothendieck. Enlarged by two reports of M. Raynaud. Ètale coverings and fundamental group)
• NORMAL SUBGROUPS OF PROFINITE GROUPS OF FINITE COHOMOLOGICAL DIMENSION
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