# Embeddings of maximal tori in groups of type $F_4$

## TL;DR

This paper classifies maximal tori in groups of type F4 over various fields and establishes a local-global principle for their embeddings, advancing understanding of algebraic group structures.

## Contribution

It provides a complete classification of maximal tori in F4 groups and proves a local-global principle for their embeddings, which was previously unknown.

## Key findings

- Complete classification of maximal tori in F4 groups
- Proof of local-global principle for embeddings
- Results valid over fields of characteristic not 2 or 3

## 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 $F_4$.