Dimitri Leemans

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20212025

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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.GR2024

String C-groups of order $4 p^{m}$

Dong-Dong Hou, Yan-Quan Feng, Dimitri Leemans +1

Let $(G, {ρ_{0}, ρ_{1}, ρ_{2}})$ be a string C-group of order $4 p^{m}$ with type ${k_{1}, k_{2}}$ for $m \geq 2$ , $k_{1}, k_{2} \geq 3$ and $p$ be an odd prime. Let $P$ be a Sylow $p$ -subgroup o…

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…

Chiral polytopes of order 2pm

String C-groups of order 4pm

String C-groups with real Schur index 2

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

String C-groups of order $4 p^{m}$

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