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

Showing 2020Show all

4 papers · 1 filter

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 $…