Z. A. Rostami

collaborators

5 papers

math.RA2023

On the Schur multipliers of Lie superalgebras of maximal class

Z. Araghi Rostami, P. Niroomand

We categorize all non-abelian nilpotent Lie superalgebras of dimension $(m ∣ n)$ , where $1 \leq s (L) \leq 10$ , and $s (L)$ is a non-negative integer defined by Nayak. Furthermore, we cl…

math.GR2023

Subgroup Theorems for the $B_{0} ~$ -invariant of groups

Z. Araghi Rostami, M. Parvizi, P. Niroomand

U. Jezernik and P. Moravec have shown that if $G$ is a finite group with a subgroup $H$ of index $n$ , then nth power of the Bogomolov multiplier of $G$ , $B_{0} ~ (G)^{n}$ is isomo…

math.GR2023

The Bogomolov multiplier of groups of order $p^{7}$ and exponent $p$

Z. Araghi Rostami, M. Parvizi, P. Niroomand

In this paper, the Bogomolov multiplier of $p$ -groups of order $p^{7}$ ( $p > 2$ ) and exponent $p$ is given.

math.GR2022

$B_{0} ~$ -invariant of groups

Z. Araghi Rostami, M. Parvizi, P. Niroomand

The Bogomolov multiplier of a group $G$ introduced by Bogomolov in $1988$ . After that in $2012$ , Moravec introduced an equivalent definition of the Bogomolov multiplier. In this pa…

math.RA2022

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…

On the Schur multipliers of Lie superalgebras of maximal class

Subgroup Theorems for the B0​~​-invariant of groups

The Bogomolov multiplier of groups of order p7 and exponent p

B0​~​-invariant of groups

The Bogomolov multiplier of Lie superalgebras

Subgroup Theorems for the $B_{0} ~$ -invariant of groups

The Bogomolov multiplier of groups of order $p^{7}$ and exponent $p$

$B_{0} ~$ -invariant of groups