By Michio Suzuki

Suzuki M. team conception (Springer, 1986, 2)(ISBN 0387109161)

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2) the generators of TF corresponding to the generators of $ are F, z"F, z2F and z"~2F; these give rise to the first four generators above. For example, F2 is obtained by The others are obtained similarly. The Jacobian of F is {Fz, Fz}. In fact, let z(f), z(t) be a curve in C and let w = z, w = z; then dF = Fzw 4- Fzw. F5 and F6 are obtained as F5 = Fzz + Ffz, F6 = Fzz'l"1 + F 2 z n ~ 1 . 3. Let F = (Au + a\)z + (Cu+Dv + p\)zn~1 and assume Then codim F = 2 and (This is a slightly specialized version of a result due to Golubitsky and Schaeffer [37, Thm.

For the record, we calculate the isotropy subgroups of solutions of type (i) and (ii). the isotropy subgroups are conjugate along orbits of the group action, so it suffices to calculate them at some fixed point along the orbit. Now creTyzl = eM+y)z\ (take k = l for this calculation) and aeTyz2 = e I