Products of Sylow subgroups in Suzuki and Ree groups

TL;DR

This paper provides an explicit and elementary proof that Suzuki and Ree groups can be expressed as the product of four Sylow p-subgroups, enhancing understanding of their subgroup structure.

Contribution

It offers a new, straightforward proof of the Sylow subgroup product decomposition in Suzuki and Ree groups, previously established through more complex methods.

Findings

Suzuki and Ree groups decompose into four Sylow p-subgroups

Elementary proof simplifies understanding of subgroup structure

Decomposition holds for the defining characteristic p

Abstract

An explicit and elementary proof is given to the fact that Suzuki and Ree groups can be decomposed into the product of 4 of their Sylow p-subgroups, where p is the defining characterictic.