Triangular involutions of the four-dimensional polynomial ring in characteristic two

TL;DR

This paper investigates polynomial involutions in four-dimensional polynomial rings over fields of characteristic two, identifying three distinct types of involutions among triangular automorphisms.

Contribution

It classifies triangular involutions in four-dimensional polynomial rings over characteristic two, revealing three new types of such involutions.

Findings

Identified three types of triangular involutions in characteristic two

Classified involutions among four-dimensional polynomial automorphisms

Enhanced understanding of polynomial involutions in characteristic two

Abstract

We are concerned with polynomial involutions in characteristic two. In this note, we look for involutions among triangular automorphisms of the four-dimensional polynomial ring in characteristic two and obtain three types of such involutions.