Isogeny in Superstable Groups

TL;DR

This paper introduces and develops the concept of isogeny within superstable groups, establishing fundamental properties and uniqueness results, and connecting it to existing model theoretic notions.

Contribution

It presents a novel notion of isogeny for superstable groups, with foundational properties and uniqueness theorems, linking to established model theory concepts.

Findings

Established fundamental properties of isogeny in superstable groups

Proved uniqueness results related to the notion of isogeny

Connected the concept to existing model theoretic notions

Abstract

We study and develop a notion of isogeny for superstable groups. We prove several fundamental properties of the notion and then use it to formulate and prove uniqueness results. Connections to existing model theoretic notions are explained.