P. Niroomand

activity

20092024

most citedA note on the Schur multiplier of a nilpotent Lie algebra

53 citations · 284 across the 41 of their papers we have counts for

collaborators

Showing 2010Show all

10 papers · 1 filter

math.GR2010★ 5 cited

Non abelian tensor square of non abelian prime power groups

Peyman Niroomand

For every $p$ -group of order $p^{n}$ with the derived subgroup of order $p^{m}$ , Rocco in \cite{roc} has shown that the order of tensor square of $G$ is at most $p^{n (n - m)}$ . In the pr…

math.RA2010★ 13 cited

Some properties on the tensor square of Lie algebras

Peyman Niroomand

In the present paper we extend and improve the results of \cite{bl, br} for the tensor square of Lie algebras. More precisely, for any Lie algebra $L$ with $L / L^{2}$ of finite dimens…

math.GR2010

A remark on the capability of finite $p$ -groups

Peyman Niroomand, Mohsen Parvizi

In this paper we classify all capable finite $p$ -groups with derived subgroup of order $p$ and $G / G^{'}$ of rank $n - 1$ .

math.RA2010★ 43 cited

Structure of nilpotent Lie algebra by its multiplier

Peyman Niroomand

For a finite dimensional Lie algebra $L$ , it is known that $s(L)=\f{1}{2}(n-1)(n-2)+1-\mathrm{dim} M(L)$ is non negative. Moreover, the structure of all finite nilpotent Lie algebr…

math.GR2010★ 2 cited

Classifying $p$ -groups via their multiplier

Peyman Niroomand

The author in $($ On the order of Schur multiplier of non-abelian $p$ -groups. J. Algebra (2009).322: 4479--4482 $)$ showed that for any $p$ -group $G$ of order $p^{n}$ there exists a no…

math.RA2010★ 50 cited

Capability of Nilpotent Lie algebras with small derived Subalgebra

Peyman Niroomand, Mohsen Parvizi

In this paper, we classify all capable nilpotent Lie algebras with derived subalgebra of dimension at most 1.

math.RA2010★ 8 cited

On the tensor square of non-abelian nilpotent finite dimensional Lie algebras

Peyman Niroomand

For every finite $p$ -group $G$ of order $p^{n}$ with derived subgroup of order $p^{m}$ , Rocco in \cite{roc} proved that the order of tensor square of $G$ is at most $p^{n (n - m)}$ . This…

math.GR2010★ 14 cited

Characterizing finite $p$ -groups by their Schur multipliers

Peyman Niroomand

It has been proved in \cite{ge} for every $p$ -group of order $p^{n}$ , $|\mathcal{M}(G)|=p^{\f{1}{2}n(n-1)-t(G)}$, where $t (G) \geq 0$ . In \cite{be, el, zh}, the structure of $G$ has b…

math.GR2010★ 6 cited

Characterizing finite $p$ -groups by their Schur multipliers, $t (G) = 5$

Peyman Niroomand

Let $G$ be a finite $p$ -group of order $p^{n}$ . It is known that $|\mathcal{M}(G)|=p^{\f{1}{2}n(n-1)-t(G)}$ and $t (G) \geq 0$ . The structure of $G$ characterized when $t (G) \leq 4$ in…

math.RA2010★ 53 cited

A note on the Schur multiplier of a nilpotent Lie algebra

Peyman Niroomand, Francesco G. Russo

For a nilpotent Lie algebra $L$ of dimension $n$ and dim $(L^{2}) = m$ , we find the upper bound dim $(M (L)) \leq 1/2 (n + m - 2) (n - m - 1) + 1$ , where $M (L)$ denotes the Schur multiplier of $L$ .…

Non abelian tensor square of non abelian prime power groups

Some properties on the tensor square of Lie algebras

A remark on the capability of finite p-groups

Structure of nilpotent Lie algebra by its multiplier

Classifying p-groups via their multiplier

Capability of Nilpotent Lie algebras with small derived Subalgebra

On the tensor square of non-abelian nilpotent finite dimensional Lie algebras

Characterizing finite p-groups by their Schur multipliers

Characterizing finite p-groups by their Schur multipliers, t(G)=5

A note on the Schur multiplier of a nilpotent Lie algebra

A remark on the capability of finite $p$ -groups

Classifying $p$ -groups via their multiplier

Characterizing finite $p$ -groups by their Schur multipliers

Characterizing finite $p$ -groups by their Schur multipliers, $t (G) = 5$