Rank 3 Bingo

TL;DR

This paper classifies how connected groups of finite Morley rank act irreducibly on abelian groups with Morley rank 3, advancing understanding of their structure and symmetries.

Contribution

It provides a complete classification of irreducible actions of connected finite Morley rank groups on abelian groups of Morley rank 3.

Findings

Classification of irreducible actions achieved

Structural insights into Morley rank 3 abelian groups

Enhanced understanding of group actions in model theory

Abstract

We classify irreducible actions of connected groups of finite Morley rank on abelian groups of Morley rank 3.