Dong-Dong Hou

collaborators

3 papers

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 $p$ …

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

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