The structure of symplectic groups over semi-local rings. (English) Zbl 0581.20046
This paper discusses the sandwich theorem for symplectic groups over semi-local rings with each residue field \(\neq {\mathbb{F}}_ 2,{\mathbb{F}}_ 3,{\mathbb{F}}_ 5\). The authors present a sufficient and necessary condition for any normal subgroup of \(Sp_{2m}(R)\) (m\(\geq 2)\) to be a standard normal subgroup. In particular, a type of examples of non-standard normal subgroups is given.
Reviewer: H.Ren
MSC:
| 20G35 | Linear algebraic groups over adèles and other rings and schemes |
| 20E07 | Subgroup theorems; subgroup growth |
Keywords:
sandwich theorem; symplectic groups over semi-local rings; standard normal subgroup; non-standard normal subgroupsReferences:
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