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 2021Show all

2 papers · 1 filter

math.GR2021★ 3 cited

Totally $2$ -closed finite groups with trivial Fitting subgroup

Majid Arezoomand, Mohammad A. Iranmanesh, Cheryl E. Praeger +1

A group $G$ is said to be totally $2$ -closed if in each of its faithful permutation representations, say on a set $Ω$ , $G$ is the largest subgroup of $Sym (Ω)$ which leaves…

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…

Totally 2-closed finite groups with trivial Fitting subgroup

Fixity of elusive groups and the polycirculant conjecture

Totally $2$ -closed finite groups with trivial Fitting subgroup