On the Normal Subgroups of $G_2(A)$

DOI10.1090/S0002-9947-99-02231-XzbMath0944.20034MaRDI QIDQ4269104

Douglas L. Costa, Gordon E. Keller

Publication date: 31 October 1999

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

zbMATH Keywords

normal subgroupsprincipal congruence subgroupsgeneric subgroupscongruence subgroup problemclassical linear groupsarithmetic Dedekind domainssubgroups normalized by elementary matricesadmissible pairs of idealssimple Chevalley-Demazure group-schemessubgroups generated by elementary matrices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Chains and lattices of subgroups, subnormal subgroups (20E15) Linear algebraic groups over adèles and other rings and schemes (20G35)

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