## Experimental Mathematics

### Solving the sextic by iteration: a study in complex geometry and dynamics

Scott Crass

#### Abstract

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.

#### Article information

Source
Experiment. Math. Volume 8, Issue 3 (1999), 209-240.

Dates
First available in Project Euclid: 9 March 2003

Permanent link to this document
http://projecteuclid.org/euclid.em/1047262404

Mathematical Reviews number (MathSciNet)
MR1724156

Zentralblatt MATH identifier
01442125

#### Citation

Crass, Scott. Solving the sextic by iteration: a study in complex geometry and dynamics. Experiment. Math. 8 (1999), no. 3, 209--240. http://projecteuclid.org/euclid.em/1047262404.