Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (1): 30-36.

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Two Classes of Solvable Subgroups of SL(3, C) and Application for Differential Equations in C

  

  1. 1. Department of Mathematics, Beijing University of Aeronautics and Astronautics2. Department of Basic Courses, Academy of Armored Force Engineering

  • Received:2007-05-10 Online:2010-03-30 Published:2023-06-07
  • About author:ZHANG Shao-fei(1957- ), male, native of Changting, Fujian, an associate professor of Beijing University of Aeronautics and Astronautics, engages in algebra; LI Hui-zhen(1983- ), female, native of Jincheng, Shanxi, an associate professor of Academy of Armored Forte Engineering, M.S.D., engages in algebra.

Abstract: Structures of two classes of solvable subgroups in SL(3,C) are given in this paper, and the integrability of the 3-order Fuchsian equation which is integrable in the sense that its monodromy group is solvable is discussed.

Key words: Fuchsian system, solvable group, general linear group, special linear group;
monodromy group,
integrability

CLC Number: