| Chevalley群中Levi子群在抛物子群中的扩群 |
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| 引用本文： | 刘兆理.Chevalley群中Levi子群在抛物子群中的扩群[J].数学学报,2000,43(5):931-936. |
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| 作者姓名： | 刘兆理 |
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| 作者单位： | 山东大学数学系山东济南 250100 |
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| 基金项目： | 国家自然科学基金!（19671079） |
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| 摘 要： | 本文以根系及Ｗｅｙｌ群为基础，以换位子公式为工具，对任意域上任意类型Ｃｈｅｖａｌｌｅｙ群，针对极大抛物子群情形，确定了Ｌｅｖｉ子群在抛物子群中的所有扩群．
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| 关 键 词： | Chevalley群 抛物子群 Levi子群 扩群 |
Overgroups of Levi Subgroups in Parabolic Subgoups in Chevalley Groups |
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| LIU Zhao-li.Overgroups of Levi Subgroups in Parabolic Subgoups in Chevalley Groups[J].Acta Mathematica Sinica,2000,43(5):931-936. |
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| Authors: | LIU Zhao-li |
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| Institution: | WANG Deng-yin (Department of Mathematics, Anhei University, Hefei 230039, P. R. China) LI Shang-zhi (Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China) |
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| Abstract: | In this paper, Based on theory of root systems and Weyl groups, by using the commutator formula, for Chevalley groups of general type over arbitrary fields, we have determined in this paper all the overgroups of Levi subgroups in the maximal parabolic subgroups. |
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| Keywords: | Chevalley groups Parabolic subgroups Levi subgroups Overgroups |
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