The covering radii of the $2$-transitive unitary, Suzuki, and Ree groups

TL;DR

This paper investigates the covering radii of specific 2-transitive permutation groups of Lie rank one, providing bounds and exploring connections to finite geometry to enhance understanding of their properties.

Contribution

It introduces new bounds for the covering radii of these groups and links their properties to finite geometric structures.

Findings

Established bounds for covering radii of the groups

Linked group properties to finite geometric concepts

Enhanced understanding of 2-transitive groups of Lie rank one

Abstract

We study the covering radii of $2$-transitive permutation groups of Lie rank one, giving bounds and links to finite geometry.