Epimorphisms of pseudo-quadratic polar spaces

TL;DR

This paper classifies the epimorphisms of certain mathematical structures called pseudo-quadratic polar spaces, completing the broader classification of epimorphisms in spherical Moufang buildings of rank two or higher.

Contribution

It provides a complete classification of epimorphisms for buildings of pseudo-quadratic form type, advancing the understanding of their structure.

Findings

Classified epimorphisms of ${BC}_l(K,K_0,\sigma,L, q_0)$ buildings

Completes the classification for irreducible spherical Moufang buildings of rank ≥ 2

Enhances understanding of the structure of pseudo-quadratic polar spaces

Abstract

We classify the epimorphisms of the buildings ${BC}_l(K,K_0,\sigma,L, q_0)$, where l is at least two, of pseudo-quadratic form type. This completes the classification of epimorphisms of irreducible spherical Moufang buildings of rank at least two.