Automorphisms and opposition in spherical buildings of exceptional type, II: Moufang hexagons

TL;DR

This paper classifies specific automorphisms, called domestic automorphisms, in Moufang hexagons, contributing to the broader goal of understanding automorphisms in Moufang spherical buildings of exceptional types.

Contribution

It provides a classification of domestic automorphisms in Moufang hexagons, advancing the understanding of automorphism structures in these geometric objects.

Findings

Classification of domestic automorphisms in Moufang hexagons

Part of a larger program on automorphisms of Moufang spherical buildings

Enhances understanding of symmetry properties in exceptional geometric structures

Abstract

We classify the automorphisms of a Moufang hexagon mapping no chamber to an opposite chamber (such automorphisms are called domestic). This forms part of a larger program to classify domestic automorphisms of Moufang spherical buildings.