Subgroups of split orthogonal groups over a ring

DOI10.1007/BF00969861zbMath0694.20032OpenAlexW2093275040MaRDI QIDQ909037

Nikolai A. Vavilov

Publication date: 1988

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969861

zbMATH Keywords

subgroupsprincipal congruence subgroupelementary orthogonal transvectionsnetwork of idealssplittable orthogonal group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25)

Related Items

Geometry of root elements in groups of type $\mathrm E_{6}$ ⋮ Overgroups of subsystem subgroups in exceptional groups: nonideal levels ⋮ An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$ ⋮ Overgroups of elementary symplectic groups ⋮ Overgroups of subsystem subgroups in exceptional groups: inside a sandwich ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ Overgroups of Levi subgroups I. The case of abelian unipotent radical ⋮ Overgroups of elementary block-diagonal subgroups in the classical symplectic group over an arbitrary commutative ring ⋮ Overgroups of subsystem subgroups in exceptional groups: levels. ⋮ Overgroups of $E(m,R)⊗E(n,R)$ I. Levels and normalizers ⋮ Subgroups of symplectic groups that contain a subsystem subgroup. ⋮ Overgroups of subsystem subgroups in exceptional groups: A 2𝐴₁-proof

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