Small groups of finite Morley rank with involutions

TL;DR

This paper investigates the structure of small groups of finite Morley rank, focusing on those with involutions and solvable local subgroups of even and mixed types, as well as odd type groups.

Contribution

It provides new insights into the structure of small finite Morley rank groups with involutions, especially regarding their local subgroups and types.

Findings

Analysis of groups with involutions and solvable local subgroups

Characterization of odd type small groups of finite Morley rank

Structural results on groups with even and mixed types

Abstract

We consider groups of finite Morley rank with solvable local subgroups of even and mixed types. We also consider miscellaneous aspects of small groups of finite Morley rank of odd type.