M. Amiri

activity

20182022

most citedCharacterization of P-groups By Sum of Element Orders

10 citations · 11 across the 9 of their papers we have counts for

collaborators

10 papers

math.GR2022★ 1 cited

On the structure of $L C$ -nilpotent groups

M. Amiri, I. Kashuba, I. Lima

For a finite group $G$ , let $L C (G)$ be the subgroup generated by elements $x$ such that, for all $y \in G$ and all integers $n$ , the order of $x^{n} y$ divides the least common multi…

math.RA2022

Finite unitary rings all of whose groups of units of all their subrings except of the ring itself are solvable

Mohsen Amiri, Wilhelm Alexander Cardoso Steinmetz

Let R be a finite unitary ring whose group of units is not solvable but all groups of units of all its proper subrings are solvable. In this paper we classify these rings and show…

math.GR2021

Finite solvable groups with a nilpotent normal complement subgroup

Mohsen Amiri

Let $G$ be a finite solvable group and $H$ a non-normal core-free subgroup of $G$ . We show that if the normalizer of any non-trivial normal subgroup of $F i t (H)$ is equal $H$ , then…

math.GR2020

On minimal coverings of groups by proper normalizers

M. Amiri, S. Haji, S. M. Jafarian Amiri

For a group $G$ , a {\it normalizer covering} of $G$ is a finite set of proper normalizers of some subgroups of $G$ whose union is $G$ . We study $p$ -groups ( $p$ a prime) without a n…

math.GR2020

The order of the product of two elements in the periodic groups

M. Amiri, I. Lima

Let $G$ be a periodic group, and let $L C M (G)$ be the set of all $x \in G$ such that $o (x^{n} z)$ divides the least common multiple of $o (x^{n})$ and $o (z)$ for all $z$ in $G$ and all int…

math.GR2020

A bijection from a finite group to the cyclic group with a divisibility property on the element orders

Mohsen Amiri

We show that any finite group $G$ there exists a bijction $f$ from $G$ onto $C_{n}$ such that $o (x)$ divides $o (f (x))$ for all $x \in G$ . This confirm Problem 18.1 in [7].

math.RA2020

Finite unitary rings with a single subgroup of prime order of the group of units

Mostafa Amini, Mohsen Amiri

Let R be a unitary ring of finite cardinality P^k, where p is a prime number and $p ∤ k$ . We show that if the group of units of $R$ has at most one subgroup of order $p$ , then $…

math.GR2019★ 10 cited

Characterization of P-groups By Sum of Element Orders

S. M. Jafarian Amiri, Mohsen Amiri

Let $G$ be a finite group. Then we denote $ψ (G) = \sum_{x \in G} o (x)$ where $o (x)$ is the order of the element $x$ in $G$ . In this paper we characterize some finite $p$ -groups ( $p$ …

math.RA2018

Finite unitary ring with minimal non-nilpotent group of units

Mohsen Amiri, Mostafa Amini

Let $R$ be a finite unitary ring such that $R = R_{0} [R^{*}]$ where $R_{0}$ is the prime ring and $R^{*}$ is not a nilpotent group. We show that if all proper subgroups of $R^{*}$ are nilpoten…

math.GR2018

A generalization of the order of elements with some applications

Mohsen Amiri

In this paper, we give some generalizations the concept of element order and we study some of the properties of these generalized order. In particular, with using this generalizati…

On the structure of LC-nilpotent groups

Finite unitary rings all of whose groups of units of all their subrings except of the ring itself are solvable

Finite solvable groups with a nilpotent normal complement subgroup

On minimal coverings of groups by proper normalizers

The order of the product of two elements in the periodic groups

A bijection from a finite group to the cyclic group with a divisibility property on the element orders

Finite unitary rings with a single subgroup of prime order of the group of units

Characterization of P-groups By Sum of Element Orders

Finite unitary ring with minimal non-nilpotent group of units

A generalization of the order of elements with some applications

On the structure of $L C$ -nilpotent groups