An alternative construction of the G2(2)-hexagon

TL;DR

This paper presents a new explicit method to construct the G2(2)-hexagon using a U3(2)-geometry, offering an alternative approach to understanding its structure.

Contribution

It introduces a novel explicit construction of the G2(2)-hexagon based on U3(2)-geometry, expanding the toolkit for studying these geometric structures.

Findings

Provides an explicit construction method for G2(2)-hexagon.

Establishes a connection between G2(2)-hexagon and U3(2)-geometry.

Enhances understanding of the structure of G2(2)-hexagon.

Abstract

In this note, we give an alternative and explicit construction of the $G_2(2)$-hexagon from a $U_3(2)$-geometry.