P. Niroomand

activity

20092024

most citedA note on the Schur multiplier of a nilpotent Lie algebra

53 citations · 284 across the 41 of their papers we have counts for

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15 papers · 1 filter

math.GR2019★ 1 cited

Bogomolov multiplier and the Lazard correspondence

Z. Araghi Rostami, M. Parvizi, P. Niroomand

In this paper we extend the notion of CP covers for groups to the field of Lie algebras, and show that despite the case of groups, all CP covers of a Lie algebra are isomorphic. Fi…

math.GR2018

On the non-abelian tensor square of groups of order dividing $p^{5}$

T. J. Ghorbanzadeh, M. Parvizi, P. Niroomand

In this paper we consider all groups of order dividing $p^{5}$ . We obtain the explicit structure of the non-abelian tensor square, non-abelian exterior square, tensor center, exterio…

math.GR2018

A note on some special $p$ -groups

Farangis Johari, Peyman Niroomand

Recently Rai obtained an upper bound for the order of the Schur multiplier of a $d$ -generator special $p$ -group when its derived subgroup has the maximum value $ p^{\frac{1}{2}d(d-…

math.GR2018

Generalized power graph of groups

Abbas Jafarzadeh, Peyman Niroomand, Mohsen Parvizi

The power graph of an arbitrary group $G$ is a simple graph with all elements of $G$ as its vertices and two vertices are adjacent if one is a positive power of another. In this pa…

math.GR2017★ 3 cited

$c$ -nilpotent multiplier of finite $p$ -groups

Farangis Johari, Mohsen Parvizi, Peyman Niroomand

The aim of this work is to find some exact sequences on the $c$ - nilpotent multiplier of a group $G$ . We also give an upper bound for the $c$ - nilpotent multiplier of finite $p$ -gr…

math.GR2017

Classification of finite $p$ -groups by the size of their Schur multipliers

Peyman Niroomand, Farangi Johari

Let $d (G)$ be the minimum number of elements required to generated a group $G .$ For a group $G$ of order $p^{n}$ with derived subgroup of order $p^{k}$ and $d (G) = d,$ we knew the o…

math.GR2013★ 1 cited

On the tensor degree of finite groups

Peyman Niroomand, Francesco G. Russo

We study the number of elements $x$ and $y$ of a finite group $G$ such that $x \otimes y = 1_{_{G \otimes G}}$ in the nonabelian tensor square $G \otimes G$ of $G$ . This number, div…

math.GR2011

On the multiple exterior degree of finite groups

Rashid Rezaei, Peyman Niroomand, Ahmad Erfanian

Recently, two first authors have introduced a group invariant, which is related to the number of elements $x$ and $y$ of a finite group $G$ such that $x \land y = 1$ in the exterior…

math.GR2011★ 6 cited

The exterior degree of a pair of finite groups

Peyman Niroomand, Rashid rezaei

The exterior degree of a pair of finite groups $(G, N)$ , which is a generalization of the exterior degree of finite groups, is the probability for two elements $(g, n)$ in $(G, N)$ su…

math.GR2010★ 5 cited

Non abelian tensor square of non abelian prime power groups

Peyman Niroomand

For every $p$ -group of order $p^{n}$ with the derived subgroup of order $p^{m}$ , Rocco in \cite{roc} has shown that the order of tensor square of $G$ is at most $p^{n (n - m)}$ . In the pr…

math.GR2010

A remark on the capability of finite $p$ -groups

Peyman Niroomand, Mohsen Parvizi

In this paper we classify all capable finite $p$ -groups with derived subgroup of order $p$ and $G / G^{'}$ of rank $n - 1$ .

math.GR2010★ 2 cited

Classifying $p$ -groups via their multiplier

Peyman Niroomand

The author in $($ On the order of Schur multiplier of non-abelian $p$ -groups. J. Algebra (2009).322: 4479--4482 $)$ showed that for any $p$ -group $G$ of order $p^{n}$ there exists a no…

math.GR2010★ 14 cited

Characterizing finite $p$ -groups by their Schur multipliers

Peyman Niroomand

It has been proved in \cite{ge} for every $p$ -group of order $p^{n}$ , $|\mathcal{M}(G)|=p^{\f{1}{2}n(n-1)-t(G)}$, where $t (G) \geq 0$ . In \cite{be, el, zh}, the structure of $G$ has b…

math.GR2010★ 6 cited

Characterizing finite $p$ -groups by their Schur multipliers, $t (G) = 5$

Peyman Niroomand

Let $G$ be a finite $p$ -group of order $p^{n}$ . It is known that $|\mathcal{M}(G)|=p^{\f{1}{2}n(n-1)-t(G)}$ and $t (G) \geq 0$ . The structure of $G$ characterized when $t (G) \leq 4$ in…

math.GR2009★ 5 cited

The Non-Abelian Tensor Square and Schur multiplier of Groups of Orders $p^{2} q$ , $p q^{2}$ and $p^{2} q r$

S. H. Jafari, P. Niroomand, A. Erfanian

The aim of this paper is to determine the non-abelian tensor square and Schur multiplier of groups of square free order and of groups of orders $p^{2} q$ , $p q^{2}$ and $p^{2} q r$ , where $p…

Bogomolov multiplier and the Lazard correspondence

On the non-abelian tensor square of groups of order dividing p5

A note on some special p-groups

Generalized power graph of groups

c-nilpotent multiplier of finite p-groups

Classification of finite p-groups by the size of their Schur multipliers

On the tensor degree of finite groups

On the multiple exterior degree of finite groups

The exterior degree of a pair of finite groups

Non abelian tensor square of non abelian prime power groups

A remark on the capability of finite p-groups

Classifying p-groups via their multiplier

Characterizing finite p-groups by their Schur multipliers

Characterizing finite p-groups by their Schur multipliers, t(G)=5

The Non-Abelian Tensor Square and Schur multiplier of Groups of Orders p2q, pq2 and p2qr

On the non-abelian tensor square of groups of order dividing $p^{5}$

A note on some special $p$ -groups

$c$ -nilpotent multiplier of finite $p$ -groups

Classification of finite $p$ -groups by the size of their Schur multipliers

A remark on the capability of finite $p$ -groups

Classifying $p$ -groups via their multiplier

Characterizing finite $p$ -groups by their Schur multipliers

Characterizing finite $p$ -groups by their Schur multipliers, $t (G) = 5$

The Non-Abelian Tensor Square and Schur multiplier of Groups of Orders $p^{2} q$ , $p q^{2}$ and $p^{2} q r$