Dong-Dong Hou

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20182026

2^{n}

3 citations · 5 across the 10 of their papers we have counts for

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math.GR2026

String C-groups of 2-power order project onto a common string C-group

Dong-Dong Hou, Egon Schulte

String C-groups are precisely the automorphism groups of abstract regular polytopes. A certain regular d-polytope C_d with an automorphism group of order 2^{2d-1}, discovered by Co…

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…

math.GR2019★ 3 cited

On regular polytopes of order $2^{n}$

Dong-Dong Hou, Yanquan Feng, Dimitri Leemans

For each $d \geq 3$ , $n \geq 10$ , and $k_{1}, k_{2}, \dots, k_{d - 1} \geq 2$ with $k_{1} + k_{2} + \dots + k_{d - 1} \leq n - 1$ , we construct a regular $d$ -polytope whose automorphism group is of ord…

String C-groups of 2-power order project onto a common string C-group

Symmetric polytopes whose automorphism groups are 2-groups

Chiral polytopes of order 2pm

String C-groups of order 4pm

On regular polytopes of order 2n

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

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

On regular polytopes of order $2^{n}$