MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 63

Preprint Number 63

Previous Next Preprint server


63. Jeffrey Burdges
Signalizers and balance in groups of finite Morley rank
E-mail:

Submission date: 12 March 2007.

Abstract:

We show that a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank has Prufer 2-rank at most two. This article covers the signalizer functor theory and identifies the groups of Lie rank at least three; leaving the uniqueness case analysis to previous articles. This result signifies the end of the general methods used to handle large groups; hereafter identification theorems will cover only individual groups.

Mathematics Subject Classification: 03C60, 20G99

Keywords and phrases: "signalizer functor" balance "Morley rank"

Full text: pdf, dvi, ps.


Last updated: March 13 2007 16:35 Please send your corrections to: