Splitting of Sharply 2-Transitive Groups of Characteristic 3

TL;DR

This paper provides a group theoretic proof demonstrating that sharply 2-transitive groups of characteristic 3 can be split into simpler components, clarifying their algebraic structure.

Contribution

It introduces a novel group theoretic approach to prove the splitting of these specific groups, advancing understanding of their structure.

Findings

Proof of splitting for sharply 2-transitive groups of characteristic 3

Clarification of algebraic structure of these groups

New group theoretic methodology applied

Abstract

We give a group theoretic proof of the splitting of sharply 2-transitive groups of characteristic 3.