The depth of the maximal subgroups of Ree groups

TL;DR

This paper investigates the depth properties of maximal subgroups within Ree groups, providing detailed combinatorial and algebraic insights into their subgroup structure.

Contribution

It offers the first comprehensive analysis of the combinatorial and ordinary depth of maximal subgroups in Ree groups.

Findings

Determined the combinatorial depth of maximal subgroups.

Established the ordinary depth of these subgroups.

Provided new classifications of subgroup structures.

Abstract

We determine the combinatorial and the ordinary depth of the maximal subgroups of the simple Ree groups, $R(q)$.