Local-global principle for congruence subgroups of Chevalley groups.

DOI10.2478/s11533-013-0391-9zbMath1302.20047arXiv1211.3575OpenAlexW3104955013MaRDI QIDQ2248105

Alexei Stepanov, Himanee Apte

Publication date: 30 June 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3575

zbMATH Keywords

principal congruence subgroupsChevalley groupslocal-global principledilation principle

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

The commutators of classical groups ⋮ Commutators of elementary subgroups: curiouser and curiouser ⋮ Structure of Chevalley groups over rings via universal localization. ⋮ The Pillars of Relative Quillen–Suslin Theory ⋮ Non-abelian \(K\)-theory for Chevalley groups over rings. ⋮ Yoga of commutators in DSER elementary orthogonal group ⋮ The yoga of commutators: further applications. ⋮ Generation of relative commutator subgroups in Chevalley groups. II ⋮ Calculations in exceptional groups, an update. ⋮ Homotopy and commutativity principle

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