Bochert's results on the minimal degree of multiply transitive permutation groups

TL;DR

This paper revisits Bochert's 1892 findings on the minimal degree of multiply transitive permutation groups, providing a contemporary perspective and detailed account of these classical results.

Contribution

It offers a modern reinterpretation and detailed exposition of Bochert's original results on minimal degrees in multiply transitive groups.

Findings

Revised bounds on minimal degrees for doubly, triply, and quadruply transitive groups

Clarification of Bochert's original results with modern methods

Enhanced understanding of the structure of multiply transitive permutation groups

Abstract

We give a modern account of Alfred Bochert's results from 1892 on the minimal degree of doubly, triply and quadruply transitive permutation groups.