# Tame Discrete Sets in Algebraic Groups

## TL;DR

This paper extends the concept of tame discrete subsets from affine complex spaces to complex linear algebraic groups with trivial character groups, exploring their properties and generalizations.

## Contribution

It generalizes the theory of tame discrete subsets from affine complex spaces to a broader class of algebraic groups with trivial character groups.

## Key findings

- Extended the notion of tame discrete subsets to complex linear algebraic groups.
- Analyzed properties of these subsets within the new context.
- Provided foundational results for future research in algebraic group theory.

## Abstract

Rosay and Rudin introduced the notion of Tame discrete subsets of the affine complex space and investigated their properties. We generalize this theory to the case of a complex linear algebraic group with trivial character group.