50 citations · 93 across the 23 of their papers we have counts for
5 papers · 1 filter
Classification of -groups via their -nilpotent multipliers
P. Niroomand, M. Parvizi
For a -group of order , it is known that the order of -nilpotent multiplier is equal to $|\mathcal{M}^{(2)}(G)|=p^{\f12n(n-1)(n-2)+3-s_2(G)}$ for an integer . In…
Nilpotent Lie algebras of class with the derived subalgebra of dimension
Faangis Johari, Peyman Niroomand, Mohsen Parvizi
The paper is devoted to give a full classification of all finite dimensional nilpotent Lie algebras of class such that Moreover, we classify the capable o…
On the non-abelian tensor square of groups of order dividing
T. J. Ghorbanzadeh, M. Parvizi, P. Niroomand
In this paper we consider all groups of order dividing . We obtain the explicit structure of the non-abelian tensor square, non-abelian exterior square, tensor center, exterio…
Generalized power graph of groups
Abbas Jafarzadeh, Peyman Niroomand, Mohsen Parvizi
The power graph of an arbitrary group is a simple graph with all elements of as its vertices and two vertices are adjacent if one is a positive power of another. In this pa…
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…