Boundary Moufang trees with abelian root groups of characteristic p

2014/06/23 by Pierre‐Emmanuel Caprace, Caprace, Pierre-Emmanuel, Matthias Grüninger +1
Computer Science · Mathematics · #20B22 #20E08 #20E42 #20G25 #22D05 #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1406.5940

openalex publication_date 2014/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that Moufang sets with abelian root groups arising at infinity of a locally finite tree all come from rank one simple algebraic groups over local fields.

Cited by

• Multiplicative quadratic maps

Related

• Moufang sets and structurable division algebras
• Special Moufang sets of finite dimension
• Finite Zassenhaus Moufang sets with root groups of even order
• Moufang sets of mixed type F4
• The centralizers in the root group of a special Moufang set are abelian