Weyl groups of small groups of finite Morley rank

TL;DR

This paper investigates the structure of Weyl groups in certain algebraic groups of finite Morley rank, proving they are cyclic and can be embedded into the larger group.

Contribution

It establishes that Weyl groups of minimal connected simple groups of finite Morley rank of degenerate type are cyclic and lift isomorphically to subgroups.

Findings

Weyl groups are cyclic

Weyl groups lift isomorphically to subgroups

Results apply to groups of finite Morley rank of degenerate type

Abstract

We examine Weyl groups of minimal connected simple groups of finite Morley rank of degenerate type. We show that they are cyclic, and lift isomorphically to subgroups of the ambient group.