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

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Showing 2017Show all

7 papers · 1 filter

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…

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

$c$ -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