On analogies between algebraic groups and groups of finite Morley rank
On analogies between algebraic groups and groups of finite Morley rank
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论代数群与有限莫利秩群的类比
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Jeffrey Burdges
中科院分区：
文献类型：
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作者：
T. Altinel;Jeffrey Burdges
本文证明了在有限莫利秩的连通群中，dectible环面的中心化子是连通的。然后，我们将这一结果的分析有限莫利秩的最小连通单群。我们的应用包括Borel子群的一般覆盖性质，Weyl群的描述和toral自同构的分析。
We prove that in a connected group of finite Morley rank the centralizers of decent tori are connected. We then apply this result to the analysis of minimal connected simple groups of finite Morley rank. Our applications include general covering properties by Borel subgroups, the description of Weyl groups and the analysis of toral automorphisms.