50 citations · 93 across the 23 of their papers we have counts for
23 papers
On the values of commutativity degree of Lie algebras
Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi
In this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asympt…
On the commutativity degree of a finite-dimensional Lie algebra
Afsaneh Shamsaki, Ahmad Erfanian, Mohsen Parvizi
In this paper, we introduce the commutativity degree of a finite-dimensional Lie algebra over a finite field and determine upper and lower bounds for it. Moreover, we study some re…
-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…
The Bogomolov multiplier of Lie superalgebras
Z. Araghi Rostami, P. Niroomand, M. Parviz
In this paper, we extend the notion of the Bogomolov multiplier and the commutativity preserving extension to Lie superalgebras. Moreover, we compute the Bogomolov multiplier of He…
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…