A New Trichotomy Theorem

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank has normal 2-rank at most two, which is a tameness free version of Borovik's original trichotomy theorem. This result serves as a bridge by showing that there are no groups found strictly between the generic and quasithin cases, i.e. between groups of Lie rank at least three, and groups of Lie rank one and two. Again this result depends upon previous work for the uniqueness case analysis.

Keywords

Group Theory, Logic, 03C60, 20G99

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/142931

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.4169
 http://arxiv.org/abs/0711.4169

Collections

arXiv