Dein Wong

activity

20242026

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6 papers · 1 filter

math.GR2026

On automorphism groups of power semigroups over numerical semigroups or over numerical monoids

Dein Wong, Songnian Xu, Chi Zhang +1

A numerical semigroup $S$ is a cofinite subsemigroup of $N$ , where $N$ is the additive monoid of non-negative integers. Denote by $P_{fin} (S)$ the…

math.GR2026

On automorphism group of the reduced finitary power monoid of the additive group of integers

Dein Wong, Songnian Xu, Chi Zhang +1

Let $Z$ be the additive group of all integers and $N$ the sub-monoid of $Z$ of all non-negative integers. For a finite subset $X$ of $Z$ , we den…

math.GR2025

$m$ -partite oriented semiregular representation of valency 3 for finite groups

Songnian Xu, Dein Wong, Wenhao Zhen

Let $G$ be a finite group and $m \geq 2$ a positive integer. We say that $G$ admits an \emph{oriented $m$ -semiregular representation} (abbreviated as OmSR) if there exists a $m$ -Ca…

math.GR2025

On oriented $m$ -semiregular representations of finite groups about valency three

Songnian Xu, Dein Wong, Chi Zhang +1

Let $G$ be a group and $m$ a positive integer. We say an $m$ -Cayley digraph $I^$ over $G$ is a digraph that admits a group of automorphisms isomorphic to $G$ acting semiregularly o…

math.GR2025

The $m$ -partite digraphical representations of valency 3 of finite groups generated by two elements

Songnian Xu, Dein Wong, Chi Zhang +1

Let $G$ be a finite group and $m$ be an integer. We employ the notation $g_{i}$ to represent elements $(g, i)$ in the Cartesian product $G \times Z_{m}$ , where $Z_{m}$ d…

math.GR2025

Finite groups admitting a regular tournament $m$ -semiregular representation

Dein Wong, Songnian Xu, Chi Zhang +1

For a positive integer $m$ , a finite group $G$ is said to admit a tournament $m$ -semiregular representation (TmSR for short) if there exists a tournament $I^$ such that the automor…

On automorphism groups of power semigroups over numerical semigroups or over numerical monoids

On automorphism group of the reduced finitary power monoid of the additive group of integers

m-partite oriented semiregular representation of valency 3 for finite groups

On oriented m-semiregular representations of finite groups about valency three

The m-partite digraphical representations of valency 3 of finite groups generated by two elements

Finite groups admitting a regular tournament m-semiregular representation

$m$ -partite oriented semiregular representation of valency 3 for finite groups

On oriented $m$ -semiregular representations of finite groups about valency three

The $m$ -partite digraphical representations of valency 3 of finite groups generated by two elements

Finite groups admitting a regular tournament $m$ -semiregular representation