Embeddings of maximal tori in groups of type $F_4$

Andrew Fiori and Federico Scavia

Vol. 311 (2021), No. 1, 53–88

DOI: 10.2140/pjm.2021.311.53

Abstract

We classify maximal tori in groups of type $F_4$ over a local or global field of characteristic different from $2$ and $3$. We prove a local-global principle for embeddings of maximal tori in groups of type $F_4$.

Keywords

maximal tori, Jordan algebras, exceptional groups, quadratic forms

Mathematical Subject Classification 2010

Primary: 20G30, 20G41

Secondary: 11E12

Milestones

Received: 2 January 2020

Revised: 14 November 2020

Accepted: 14 January 2021

Published: 17 March 2021