The University of Southampton
University of Southampton Institutional Repository

Orbits of braid groups on cacti

Record type: Article

One of the consequences of the classification of finite simple groups is the fact that non-rigid polynomials (those with more than two finite critical values), considered as branched coverings of the sphere, have exactly three exceptional monodromy groups (one in degree 7, one in degree 13 and one in degree 15). By exceptional here we mean primitive and not equal to S_n or A_n, where n is the degree. Motivated by the problem of the topological classification of polynomials, a problem that goes back to 19th century researchers, we discuss several techniques for investigating orbits of braid groups on ``cacti'' (ordered sets of monodromy permutations). Applying these techniques, we provide a complete topological classification for the three exceptional cases mentioned above.

PDF Jones-Zvonkin.pdf - Version of Record
Restricted to Repository staff only
Download (488kB)

Citation

Jones, G.A. and Zvonkin, A. (2002) Orbits of braid groups on cacti Moscow Mathematical Journal, 2, (1), pp. 129-162.

More information

Published date: January 2002

Identifiers

Local EPrints ID: 41164
URI: http://eprints.soton.ac.uk/id/eprint/41164
ISSN: 1609-4514
PURE UUID: 54678699-1a63-45cd-a957-cc14f5ecd5bf

Catalogue record

Date deposited: 25 Jul 2006
Last modified: 17 Jul 2017 15:32

Export record

Contributors

Author: G.A. Jones
Author: A. Zvonkin

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×