On epimorphisms of spherical Moufang buildings

TL;DR

This paper classifies epimorphisms of irreducible spherical Moufang buildings over fields, providing a characterization of indecomposable cases as those derived from R-buildings, advancing understanding of their structural mappings.

Contribution

It offers a complete classification of epimorphisms in spherical Moufang buildings and links indecomposable cases to R-building constructions.

Findings

Classified all epimorphisms of these buildings.

Characterized indecomposable epimorphisms as arising from R-buildings.

Enhanced understanding of the structure and mappings of Moufang buildings.

Abstract

In this paper we classify the the epimorphisms of irreducible spherical Moufang buildings (of rank at least 2) defined over a field. As an application we characterize indecomposable epimorphisms of these buildings as those epimorphisms arising from R-buildings.