F. Johari

activity

20152025

most citedCapable Lie algebras with the derived subalgebra of dimension two over an arbitrary field

14 citations · 50 across the 15 of their papers we have counts for

collaborators

15 papers

math.GR2025

Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three

Saboura Yousefi, Azam Kaheni, Farangis Johari

In this paper, we investigate nilpotent Lie algebras $L$ of nilpotency class $3$ and provide a complete classification of those satisfying $dim L^{2} = 3$ and $Z(L) = L^3 \cong…

math.GR2021

2-nilpotent multiplier and 2-capability of finite 2-generator p-groups of class two

F. Johari, A. Kaheni

Let p be a prime number. We give the explicit structure of 2- nilpotent multiplier for each finite 2-generator p-group of class two. Moreover, 2-capable groups in that class are ch…

math.RA2020★ 2 cited

The structure of nilpotent Lie algebras of class two with derived subalgebra of dimension two

F. Johari, A. Shamsaki, P. Niroomand

In this paper, the structure of all finite-dimensional nilpotent Lie algebras of class two with derived subalgebra of dimension two over an arbitrary field $F$ is determ…

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

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.RA2017★ 4 cited

Certain functors of nilpotent Lie algebra with the derived subalgebra of dimension two

Farngis Johari, Peyman Niroomand

By considering the nilpotent Lie algebra with the derived subalgebra of dimension $2$ , we compute some functors include the Schur multiplier, the exterior square and the tensor sq…

math.RA2017★ 4 cited

$c$ -nilpotent multiplier and $c$ -capability of the direct sum of Lie algebras

Farangis Johari, Peyman Niroomand, Mohsen Parvizi

In this paper, we determine the behavior of the $c$ -nilpotent multiplier of Lie algebras with respect to the direct sums. Then we give some results on the $c$ -capability of the dir…

math.RA2017★ 14 cited

Capable Lie algebras with the derived subalgebra of dimension two over an arbitrary field

Peyman Niroomand, Farangis Johari, Mohsen Parvizi

In this paper, we classify all capable nilpotent Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Moreover, the explicit structure of such Lie algeb…

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.RA2017★ 14 cited

The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras

Farangis Johari, Peyman Niroomand

From [Problem 1729, Groups of prime power order, Vol. 3], Berkovich et al. asked to obtain the Schur multiplier and the representation of a group $G$ , when $G$ is a special $p$ -gro…

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.RA2017★ 4 cited

Some results on the Schur multiplier of nilpotent Lie algebras

Peyman Niroomand, Farangis Johari

For a non-abelian Lie algebra $L$ of dimension $n$ with the derived subalgebra of dimension $m$ , the first author earlier proved that the dimension of its Schur multiplier is boun…

math.RA2015★ 2 cited

Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal

P. Niroomand, F. Johari, M. Parvizi +1

We prove a theorem of splitting for the nonabelian tensor product $L \otimes N$ of a pair $(L, N)$ of Lie algebras $L$ and $N$ in terms of its diagonal ideal $L □ N$ and of th…

Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three

2-nilpotent multiplier and 2-capability of finite 2-generator p-groups of class two

The structure of nilpotent Lie algebras of class two with derived subalgebra of dimension two

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

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

Certain functors of nilpotent Lie algebra with the derived subalgebra of dimension two

c-nilpotent multiplier and c-capability of the direct sum of Lie algebras

Capable Lie algebras with the derived subalgebra of dimension two over an arbitrary field

c-nilpotent multiplier of finite p-groups

The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras

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

Some results on the Schur multiplier of nilpotent Lie algebras

Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal

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

A note on some special $p$ -groups

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

$c$ -nilpotent multiplier and $c$ -capability of the direct sum of Lie algebras

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

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