On the rank of Suzuki polytopes: an answer to Hubard and Leemans

TL;DR

This paper proves that all chiral polytopes with Suzuki groups as automorphism groups have rank 3, confirming a conjecture and advancing understanding of symmetry properties in these mathematical structures.

Contribution

It establishes that the rank of such polytopes is always 3, providing a definitive answer to a conjecture by Hubard and Leemans.

Findings

All chiral polytopes with Suzuki automorphism groups have rank 3.

Confirms the conjecture by Hubard and Leemans.

Advances the classification of symmetries in polytopes.

Abstract

In this paper we show that the rank of every chiral polytope having a Suzuki group as automorphism group is $3$. This gives a positive answer to a conjecture of Isabel Hubard and Dimitri Leemans.