50 citations · 93 across the 23 of their papers we have counts for
13 papers · 1 filter
-invariant of groups
Z. Araghi Rostami, M. Parvizi, P. Niroomand
The Bogomolov multiplier of a group introduced by Bogomolov in . After that in , Moravec introduced an equivalent definition of the Bogomolov multiplier. In this pa…
Bogomolov multiplier and the Lazard correspondence
Z. Araghi Rostami, M. Parvizi, P. Niroomand
In this paper we extend the notion of CP covers for groups to the field of Lie algebras, and show that despite the case of groups, all CP covers of a Lie algebra are isomorphic. Fi…
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…
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…
-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…