The structure of symplectic groups over arbitrary commutative rings

DOI10.1007/BF02560038zbMath0638.20028OpenAlexW158494365MaRDI QIDQ3778925

Fu-an Li

Publication date: 1987

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02560038

zbMATH Keywords

symplectic groupnormal subgroupsChevalley groupssandwich theoremcommutative ring

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

Overgroups of symplectic group in linear group over commutative rings., Bak's work on theK-theory of rings, An $\mathrm {A}_2$-proof of structure theorems for Chevalley groups of types $\mathrm {E}_6$ and $\mathrm {E}_7$, Overgroups of classical groups over commutative rings in linear group., Normal subgroups of classical groups over rings, The commutators of classical groups, Linear groups over general rings. I: Generalities., Overgroups of elementary symplectic groups, Subgroups of classical groups normalized by relative elementary groups., Relative commutator calculus in Chevalley groups., Overgroups of $\mathrm{EO}(n,R)$, The structure of quadratic groups over commutative rings., Groups normalized by the odd unitary group, Relative unitary commutator calculus, and applications., Overgroups of the elementary unitary group in linear group over commutative rings., The yoga of commutators., Relative subgroups in Chevalley groups, $\mathrm A_2$-proof of structure theorems for Chevalley groups of type $\mathrm F_4$, Subgroups of symplectic groups that contain a subsystem subgroup., Another presentation for symplectic Steinberg groups

Cites Work

• A generalized sandwich theorem
• The structure of symplectic groups over semi-local rings
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