Subgroups of the general symplectic group containing the group of diagonal matrices

DOI10.1007/BF01094368zbMath0529.20036OpenAlexW2095584865MaRDI QIDQ787292

E. V. Dybkova, Nikolai A. Vavilov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01094368

zbMATH Keywords

general symplectic groupdiagonal matricesdiagonal subgroupsemilocal ringcarpet subgroupsymplectic carpet of ideals

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)

Related Items

On subgroups in the special linear group over a division algebra that contain the subgroup of diagonal matrices ⋮ Subgroups of split orthogonal groups ⋮ On the lattice of subgroups of chevalley groups containing a split maximal torus ⋮ Linear groups ⋮ Subgroups of the special linear group containing the diagonal subgroup ⋮ Subgroups of the full symplectic group containing the group of diagonal matrices. II ⋮ Bruhat decomposition for subgroups containing the group of diagonal matrices. II

Cites Work

• Subgroups of finite groups of Lie type
• Extensions of Chevalley groups
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