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一类可解子群的结构与Fuchs方程的可积性
引用本文:刘颖,张绍飞.一类可解子群的结构与Fuchs方程的可积性[J].湘南学院学报,2010,31(2):1-4,19.
作者姓名:刘颖  张绍飞
作者单位:北京航空航天大学,数学系,北京,100191
摘    要:给出了SL(3k,C)中一类特殊的具有两个生成元的可解子群的结构定理.由单值群的可解性与Fuchs方程的可积性之间的关系,研究环面上只有一个正则奇点的3k阶的Fuchs系统的可积性

关 键 词:特殊可解群  可解群  Fuchs系统  单值群  可积性

Structure of a Class of Solvable Subgroups of SL(3k,C) and Application in Fuchsion Equation
LIU Ying,ZHANG Shao-fei.Structure of a Class of Solvable Subgroups of SL(3k,C) and Application in Fuchsion Equation[J].Journal of Xiangnan University,2010,31(2):1-4,19.
Authors:LIU Ying  ZHANG Shao-fei
Abstract:The structure of two classes of solvable subgroups generated by finite elements are given.By the relation between the solvability of monodromy group and the integrability of Fuchsion equation,the integrability for the Fuchsion equation on the tours that its monodromy groups is solvable is discussed.
Keywords:special linear group  solvable group  Fuchsian system  monodromy group  integrability
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