Congruence subgroup problem for anisotropic groups over semilocal rings

DOI10.1007/BF02868019zbMath0747.20023MaRDI QIDQ1182590

Balasubramanian Sury

Publication date: 28 June 1992

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

normal subgroupsglobal fieldsemilocal ringsimply-connected \(K\)-anisotropic algebraic group

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Linear algebraic groups over global fields and their integers (20G30) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (5)

On the congruence kernel for simple algebraic groups ⋮ Computation of the metaplectic kernel ⋮ On the congruence subgroup problem for anisotropic groups of inner type \(A_n\) ⋮ The congruence subgroup problem. ⋮ Centrality

Cites Work

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• Lectures on Galois cohomology of classical groups. With an appendix by T. Springer
• Orthogonale Gruppen über algebraischen Zahlkörpern.
• The arithmetic theory of algebraic groups
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• The Norm 1 Group of -Adic Division Algebra
• THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS
• On the Commutator Group of a Simple Algebra
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