53 citations · 284 across the 41 of their papers we have counts for
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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 , we compute some functors include the Schur multiplier, the exterior square and the tensor sq…
-nilpotent multiplier and -capability of the direct sum of Lie algebras
Farangis Johari, Peyman Niroomand, Mohsen Parvizi
In this paper, we determine the behavior of the -nilpotent multiplier of Lie algebras with respect to the direct sums. Then we give some results on the -capability of the dir…
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…
On the dimension of Schur multiplier of Lie algebras of maximal class
Afsaneh Shamsaki, Peyman Niroomand
The paper is devoted to obtain an upper bound for the Schur multiplier of nilpotent Lie algebras of maximal class. It improves the later upper bounds on the Schur multiplier of suc…
-nilpotent multiplier of finite -groups
Farangis Johari, Mohsen Parvizi, Peyman Niroomand
The aim of this work is to find some exact sequences on the - nilpotent multiplier of a group . We also give an upper bound for the - nilpotent multiplier of finite -gr…
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 , when is a special -gro…
Classification of finite -groups by the size of their Schur multipliers
Peyman Niroomand, Farangi Johari
Let be the minimum number of elements required to generated a group For a group of order with derived subgroup of order and we knew the o…
Some results on the Schur multiplier of nilpotent Lie algebras
Peyman Niroomand, Farangis Johari
For a non-abelian Lie algebra of dimension with the derived subalgebra of dimension , the first author earlier proved that the dimension of its Schur multiplier is boun…