# When the group ring of a finite group over a field is serial

## TL;DR

This paper classifies finite simple groups based on whether their group rings over a specified field are serial, providing a comprehensive list of such groups.

## Contribution

It offers a complete classification of finite simple groups with serial group rings over a given field, filling a gap in algebraic structure understanding.

## Key findings

- Identifies all finite simple groups with serial group rings over the field
- Provides a list of these groups for any given field
- Advances understanding of algebraic properties of group rings

## Abstract

We make a list of finite simple groups whose group rings over a given field are serial.