We use the Valentiner action of \A{6} on \funnyC\funnyP$^2$ to develop an iterative algorithm for the solution of the general sextic equation over \funnyC, analogous to Doyle and McMullen's algorithm for the quintic.
Publié le : 1999-05-14
Classification:
14N99,
14H45,
14L30,
37F10,
37F50
@article{1047262404,
author = {Crass, Scott},
title = {Solving the sextic by iteration: a study in complex geometry and dynamics},
journal = {Experiment. Math.},
volume = {8},
number = {4},
year = {1999},
pages = { 209-240},
language = {en},
url = {http://dml.mathdoc.fr/item/1047262404}
}
Crass, Scott. Solving the sextic by iteration: a study in complex geometry and dynamics. Experiment. Math., Tome 8 (1999) no. 4, pp. 209-240. http://gdmltest.u-ga.fr/item/1047262404/