Translation of Mathieu's On the five-fold transitive function of 24 quantities

TL;DR

This paper provides an English translation of Mathieu's work on a highly symmetric mathematical function, facilitating further research into the structure of the Mathieu group M23 and its representations.

Contribution

It offers an accessible English version of Mathieu's original paper, supporting ongoing research in finite group theory and combinatorics.

Findings

Translated Mathieu's paper into English

Facilitates research on Mathieu group M23

Supports exploration of additive functions on finite fields

Abstract

We translated the paper 'On the five-fold transitive function of 24 quantities' by \'Emile Mathieu into English. This was done to aid our project on expressing $M_{23}$ as additive functions on the finite field of $2_{11}$ elements.