Zobrazeno 1 - 10
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pro vyhledávání: '"Parvizi, M."'
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 $G$, $\tilde{B_0}(G)^n$ is isomorphic to a subgroup of $\tilde{B_0}(H)$. In this paper we want to prov
Externí odkaz:
http://arxiv.org/abs/2303.05765
In this paper, the Bogomolov multiplier of $p$-groups of order $p^7$ ($p>2$) and exponent $p$ is given.
Externí odkaz:
http://arxiv.org/abs/2301.10534
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 paper we generalized the Bogomolov multiplier with respect to a variety
Externí odkaz:
http://arxiv.org/abs/2211.08725
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 Heisenberg and real Lie superalgebras of dimension at most $4$.
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Externí odkaz:
http://arxiv.org/abs/2211.06938
Publikováno v:
Comm. in Algebra, Volume 48, 2020 - Issue 3
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. Finally we show that CP covers of groups and Lie rings which are in Laza
Externí odkaz:
http://arxiv.org/abs/1904.04444
Autor:
Niroomand, P., Parvizi, M.
For a $p$-group of order $p^n$, it is known that the order of $2$-nilpotent multiplier is equal to $|\mathcal{M}^{(2)}(G)|=p^{\f12n(n-1)(n-2)+3-s_2(G)}$ for an integer $s_2(G)$. In this article, we characterize all of non abelian $p$-groups satisfyin
Externí odkaz:
http://arxiv.org/abs/1812.00245
Publikováno v:
Asian European journal of mathematics, 2021
In this paper we consider all groups of order dividing $p^5$. We obtain the explicit structure of the non-abelian tensor square, non-abelian exterior square, tensor center, exterior center, the third homotopy group of suspension of an Eilenberg-MacLa
Externí odkaz:
http://arxiv.org/abs/1807.08111
Autor:
Niroomand, P., Parvizi, M.
Publikováno v:
J. Geom. Phys. 121 (2017), 180--185
In the present context, we investigate to obtain some more results about $2$-nilpotent multiplier $\mathcal{M}^{(2)}(L)$ of a finite dimensional nilpotent Lie algebra $L$. For instance, we characterize the structure of $\mathcal{M}^{(2)}(H)$ when $H$
Externí odkaz:
http://arxiv.org/abs/1610.05581
Publikováno v:
Bull. Malays. Math. Sci. Soc. 42 (2019), no. 4, 1295--1304
We prove a theorem of splitting for the nonabelian tensor product $L \otimes N$ of a pair $(L,N)$ of Lie algebras $L$ and $N$ in terms of its diagonal ideal $L \square N$ and of the nonabelian exterior product $L \wedge N$. A similar circumstance was
Externí odkaz:
http://arxiv.org/abs/1502.00417
Publikováno v:
Filomat, 2017 Jan 01. 31(3), 877-883.
Externí odkaz:
https://www.jstor.org/stable/24902185