Yan-Quan Feng

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math.GR2025

Symmetric polytopes whose automorphism groups are 2-groups

Gabriel Cunningham, Yan-Quan Feng, Dong-Dong Hou +1

The present work investigates regular, semiregular, and chiral polytopes of any rank $d \geq 3$ , whose automorphism groups are 2-groups. There is a large variety of rather small fin…

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…

Symmetric polytopes whose automorphism groups are 2-groups

Chiral polytopes of order 2pm

String C-groups of order 4pm

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

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