例外群中子系统子群的扩群：在三明治中
Overgroups of subsystem subgroups in exceptional groups: inside a sandwich
摘要：
本文是作者前一篇文章的补充，研究了Chevalley群$G(Φ,R)$的初等子系统子群$E(Δ,R)$对于一个足够大的根子系统$Δ$的扩群格.本文研究了环$R$的理想网所给出的初等子群$\hat{E}(σ)$与Chevalley代数的相应李子代数的稳定子$S(σ)$之间的关系。特别地，我们证明了在一定条件下子群$\hat{E}(σ)$在$S(σ)$中正规，并研究了相应的商群的一些性质.
英文摘要：
The current paper is an addition to the previous paper by author, where the overgroup lattice of the elementary subsystem subgroup $E(Δ,R)$ of the Chevalley group $G(Φ,R)$ for a large enough root subsystem $Δ$ was studied. Now we study the connection between the elementary subgroup $\hat{E}(σ)$ given by the net of ideals of the ring $R$ and the stabilizer $S(σ)$ of the corresponding Lie subalgebra of the Chevalley algebra. In particular, we prove that under a certain condition the subgroup $\hat{E}(σ)$ is normal in $S(σ)$, and we also study some properties of the corresponding quotient group.
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