5 papers
On automorphism groups of power semigroups over numerical semigroups or over numerical monoids
Dein Wong, Songnian Xu, Chi Zhang +1
A numerical semigroup is a cofinite subsemigroup of , where is the additive monoid of non-negative integers. Denote by the…
On automorphism group of the reduced finitary power monoid of the additive group of integers
Dein Wong, Songnian Xu, Chi Zhang +1
Let be the additive group of all integers and the sub-monoid of of all non-negative integers. For a finite subset of , we den…
On oriented -semiregular representations of finite groups about valency three
Songnian Xu, Dein Wong, Chi Zhang +1
Let be a group and a positive integer. We say an -Cayley digraph over is a digraph that admits a group of automorphisms isomorphic to acting semiregularly o…
The -partite digraphical representations of valency 3 of finite groups generated by two elements
Songnian Xu, Dein Wong, Chi Zhang +1
Let be a finite group and be an integer. We employ the notation to represent elements in the Cartesian product , where d…
Finite groups admitting a regular tournament -semiregular representation
Dein Wong, Songnian Xu, Chi Zhang +1
For a positive integer , a finite group is said to admit a tournament -semiregular representation (TmSR for short) if there exists a tournament such that the automor…