OVERGROUPS OF SYMPLECTIC GROUP IN LINEAR GROUP OVER LOCAL RINGS

DOI10.1081/AGB-100002390zbMath0989.20041OpenAlexW2163078460MaRDI QIDQ2747144

Baodong Zheng, Hong You

Publication date: 1 August 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100002390

zbMATH Keywords

symplectic groupsidealscommutative local ringsovergroups

Mathematics Subject Classification ID

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

Related Items (6)

Overgroups of symplectic group in linear group over commutative rings. ⋮ Overgroups of classical groups over commutative rings in linear group. ⋮ Overgroups of elementary symplectic groups ⋮ Overgroups of $\mathrm{EO}(n,R)$ ⋮ Overgroups of the elementary unitary group in linear group over commutative rings. ⋮ Linear Groups Over Integral Extensions of Semilocal Commutative Rings

Cites Work

• Isomorphisms of symplectic groups over commutative rings
• Overgroups in GL(nr,F) of certain subgroups of SL(n,K). I
• Linear groups containing a Singer cycle
• Some groups generated by transvections

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