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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5 papers · 1 filter

math.CO2021

A family of regular polytopes of order $4 p^{m}$ with type ${p, 2 p}$

Dong-Dong Hou, Ting-Ting Kong, Hai-Peng Qu

In this paper, we construct an infinite families of group $G$ of order $4 p^{m}$ which can be an automorphism group of some regular polytope with type ${p, 2 p}$ , where $m \geq 3$ an…

math.CO2020★ 1 cited

Regular $3$ -polytopes of order $2^{n} p$

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

In [Problems on polytopes, their groups, and realizations, Periodica Math. Hungarica 53 (2006) 231-255] Schulte and Weiss proposed the following problem: {\em Characterize regular…

math.CO2019★ 1 cited

Existence of regular $3$ -hypertopes with $2^{n}$ chambers

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

For any positive integers $n, s, t, l$ such that $n \geq 10$ , $s, t \geq 2$ , $l \geq 1$ and $n \geq s + t + l$ , a new infinite family of regular 3-hypertopes with type $(2^s, 2^t, 2^l)…

math.CO2019

Regular maps of order $2$ -powers

Dong-Dong Hou, Yan-Quan Feng, Young Soo Kwon

In this paper, we consider the possible types of regular maps of order $2^{n}$ , where the order of a regular map is the order of automorphism group of the map. For $n \leq 11$ , M. Con…

math.CO2018

$2$ -groups behaving as automorphism groups of regular $3$ -polytopes

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

In this paper, we classify regular polytopes with automorphism groups of order $2^{n}$ and Schläfli types ${4, 2^{n - 3}}, {4, 2^{n - 4}}$ and ${4, 2^{n - 5}}$ for $n \geq 10$ , there…

A family of regular polytopes of order 4pm with type {p,2p}

Regular 3-polytopes of order 2np

Existence of regular 3-hypertopes with 2n chambers

Regular maps of order 2-powers

2-groups behaving as automorphism groups of regular 3-polytopes

A family of regular polytopes of order $4 p^{m}$ with type ${p, 2 p}$

Regular $3$ -polytopes of order $2^{n} p$

Existence of regular $3$ -hypertopes with $2^{n}$ chambers

Regular maps of order $2$ -powers

$2$ -groups behaving as automorphism groups of regular $3$ -polytopes