Uniqueness Cases in Odd Type Groups of Finite Morley Rank, Revisited

TL;DR

This paper revisits key theorems in the theory of groups of finite Morley rank of odd type, providing foundational results for studying permutation actions and modules within this mathematical framework.

Contribution

It presents revised versions of the Strong Embedding Theorem and the Uniqueness Subgroup Theorem tailored for groups of finite Morley rank of odd type.

Findings

Revised Strong Embedding Theorem for odd type groups

Revised Uniqueness Subgroup Theorem for odd type groups

Facilitates further study of permutation actions and modules

Abstract

The paper contains versions of the Strong Embedding Theorem and the Uniqueness Subgroup Theorem for groups of finite Morley rank and odd type which are needed for the study of permutations actions and modules in the finite Morley rank category.