M. Arezoomand

activity

20162026

most citedFinite nilpotent groups coincide with their

2

-closures in all of their faithful permutation representations

4 citations · 10 across the 12 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

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★ 2 cited

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…

math.GR2020★ 1 cited

On finite totally 2-closed groups

Alireza Abdollahi, Majid Arezoomand, Gareth Tracey

An abstract group $G$ is called totally $2$ -closed if $H = H^{(2), Ω}$ for any set $Ω$ with $G ≅ H \leq Sym (Ω)$ , where $H^{(2), Ω}$ is the largest subgroup of $Sym (Ω)$ who…