Les groupes de Mathieu sont-ils aussi sporadiques qu'il y parait ?

TL;DR

This paper advocates for revisiting the classification of finite simple groups to incorporate finite simple hypergroups, suggesting a potential expansion of the existing mathematical framework.

Contribution

It proposes extending the theory of finite simple groups to include hypergroups, challenging the current classification and opening new research directions.

Findings

Highlights the need to include hypergroups in the classification

Suggests potential structural similarities between groups and hypergroups

Calls for further exploration of hypergroup properties in finite settings

Abstract

A plea to open again the building site of finite simple groups in order to include finite simple hypergroups.