Ky. Guan et Sf. Zhang, STRUCTURE OF SOLVABLE SUBGROUP OF SL(2,C) AND INTEGRABILITY OF FUCHSIAN EQUATIONS ON TORUS T-2, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 39(5), 1996, pp. 501-508
The possible derived lengths and structures of solvable subgroups of S
L(2, C) are given in Theorem 1, and the structures of the Riemann surf
aces of solutions of the Fuchsian equation on torus with a solvable mo
nodromy group are discussed. Examples in verifying the solvability of
monodromy groups for some Fuchsian equations on T-2 are given.