Dimitri Leemans

collaborators

3 papers

math.GR2025

Chiral polytopes of order $2 p^{m}$

Ting-Ting Kong, Yan-Quan Feng, Dong-Dong Hou +2

Let $P$ be a chiral polytope with type ${k_{1}, k_{2}}$ and $G = A u t (P)$ . Suppose $∣ G ∣ = 2 p^{m}$ , where $k_{1}, k_{2} \geq 3$ and $p$ is an odd prime. Let $P$ be a Sylow $p$ …

math.GR2022

String $C$ -groups with real Schur index $2$

Peter J. Cameron, Allen Herman, Dimitri Leemans

We give examples of finite string $C$ -groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index $2$ . This answers a proble…

math.CO2021

Edge-girth-regular graphs arising from biaffine planes and Suzuki groups

Araujo-Pardo Gabriela, Leemans Dimitri

An edge-girth-regular graph $e g r (v, k, g, λ)$ , is a $k$ -regular graph of order $v$ , girth $g$ and with the property that each of its edges is contained in exactly $λ$ distinct $g$ -cyc…

Chiral polytopes of order 2pm

String C-groups with real Schur index 2

Edge-girth-regular graphs arising from biaffine planes and Suzuki groups

Chiral polytopes of order $2 p^{m}$

String $C$ -groups with real Schur index $2$