M. Arezoomand

collaborators

3 papers

math.GR2021

Fixity of elusive groups and the polycirculant conjecture

Majid Arezoomand

Let $G \leq Sym (Ω)$ be transitive. Then $G$ is called \textit{elusive} on $Ω$ if it has no fixed point free element of prime order. The \textit{ $2$ -closure} of $G$ , denoted by…

math.CO2020

Normality of one-matching semi-Cayley graphs over finite abelian groups with maximum degree three

Majid Arezoomand, Mohsen Ghasemi

A graph $Γ$ is said to be a semi-Cayley graph over a group $G$ if it admits $G$ as a semiregular automorphism group with two orbits of equal size. We say that $Γ$ is normal if $G$ …

math.GR2020

On $\BCI$-groups and $\CI$-groups

Asieh Sattari, Majid Arezoomand, Mohammad A. Iranmanesh

Let $G$ be a finite group and $S$ be a subset of $G .$ A bi-Cayley graph $\BCay(G,S)$ is a simple and an undirected graph with vertex-set $G \times {1, 2}$ and edge-set $\{\{(g,1),(s…