Big Actions with non abelian derived subgroup

TL;DR

This paper constructs an example of a large algebraic action with a non-abelian derived subgroup, expanding understanding of big actions in algebraic geometry.

Contribution

It provides the first known example of a big action with a non-abelian derived subgroup, using a covering of a curve related to the Ree curve.

Findings

Demonstrates existence of big actions with non-abelian derived subgroup for p>2

Uses a covering of a curve related to the Ree curve

Expands the class of known big actions

Abstract

For any $p>2$ we give an example of big action $(X,G)$ with non abelian derived subgroup. It is obtained as a covering of a curve related to the Ree curve.