Moufang sets of mixed type F4

TL;DR

This paper introduces a new class of Moufang sets derived from mixed groups of type F4 in characteristic 2, expanding the understanding of algebraic structures related to linear algebraic groups.

Contribution

It describes the construction of Moufang sets from mixed groups of type F4 in characteristic 2 via fixed points under an involution, a novel approach in the field.

Findings

New class of Moufang sets identified

Construction method via fixed points under involution

Enhances understanding of algebraic groups in characteristic 2

Abstract

Moufang sets were introduced by Jacques Tits in order to understand isotropic linear algebraic groups of relative rank one, but the notion is more general. We describe a new class of Moufang sets, arising from so-called mixed groups of type F4 in characteristic 2, obtained as the fixed point set under a suitable involution.