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

collaborators

Showing 2018Show all

8 papers · 1 filter

math.AC2018★ 3 cited

Nilpotent Lie algebras having the Schur multiplier of maximum dimension

A. Shamsaki, P. Niroomand

Let $L$ be an $n$ -dimensional nilpotent Lie algebra of nilpotency class $c$ with the derived subalgebra of dimension $m$ . Recently, Rai proved that the dimension of Schur m…

math.RA2018★ 3 cited

Nilpotent Lie algebras of class $4$ with the derived subalgebra of dimension $3$

Faangis Johari, Peyman Niroomand, Mohsen Parvizi

The paper is devoted to give a full classification of all finite dimensional nilpotent Lie algebras $L$ of class $4$ such that $dim L^{2} = 3.$ Moreover, we classify the capable o…

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.RA2018

Characterizing nilpotent Lie algebras rely on the dimension of their $2$ -nilpotent multipliers

Farangis Johari, Peyman Niroomand

There are some results on nilpotent Lie algebras $L$ investigate the structure of $L$ rely on the study of its $2$ -nilpotent multiplier. It is showed that the dimension of the…

math.RA2018

The capability and certain functors of some nilpotent Lie algebras of class two

Farangis Johari, Peyman Niroomand

Recently, the authors obtained the Schur multiplier, the non-abelian tensor square and the non-abelian exterior square of $d$ -generator generalized Heisenberg Lie algebras of rank…

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.RA2018★ 4 cited

The Bogomolov multiplier of Lie algebras

Zeinab Araghi Rostami, Mohsen Parvizi, Peyman Niroomand

In this paper, we extend the notion of the Bogomolov multipliers and the CP-extensions to Lie algebras. Then we compute the Bogomolov multipliers for Abelian, Heisenberg and nilpot…

Nilpotent Lie algebras having the Schur multiplier of maximum dimension

Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3

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

A note on some special p-groups

Characterizing nilpotent Lie algebras rely on the dimension of their 2-nilpotent multipliers

The capability and certain functors of some nilpotent Lie algebras of class two

Generalized power graph of groups

The Bogomolov multiplier of Lie algebras

Nilpotent Lie algebras of class $4$ with the derived subalgebra of dimension $3$

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

A note on some special $p$ -groups

Characterizing nilpotent Lie algebras rely on the dimension of their $2$ -nilpotent multipliers