Zobrazeno 1 - 10
of 322
pro vyhledávání: '"Zarrin, M."'
Autor:
Ahmadkhah, N., Zarrin, M.
For any group G, let $cent(G)$ denote the set of all centralizers of $G$. The authors in \cite{KZ}, Groups with the same number of centralizers, J. Algebra Appl. (2021) 2150012 (6 pages), posed the following conjecture: Let $G$ and $S$ be finite grou
Externí odkaz:
http://arxiv.org/abs/2402.15918
Autor:
Ahmadkhah, N., Zarrin, M.
For a finite group $G$ and an element $x\in G$, the subset $$ nil_G(x)=\{y\in G \mid ~~ is ~~ nilpotent\}$$ is called nilpotentizer of $x$ in $G$. In this paper, we give two solvabilty criteria for a finite group by the structure and the size of
Externí odkaz:
http://arxiv.org/abs/2402.15916
Let $o(G)$ be the average order of the elements of $G$, where $G$ is a finite group. We show that there is no polynomial lower bound for $o(G)$ in terms of $o(N)$, where $N\trianglelefteq G$, even when $G$ is a prime-power order group and $N$ is abel
Externí odkaz:
http://arxiv.org/abs/2009.08226
Autor:
Zarrin, M.
In this paper, we show that each finite group $G$ containing at most $p^2$ Sylow $p$-subgroups for each odd prime number $p$, is a solvable group. In fact, we give a positive answer to the conjecture in \cite{Rob}.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/2007.10619
A group is called a CA-group if the centralizer of every non-central element is abelian. Furthermore, a group is called a minimal non-CA-group if it is not a CA-group itself, but all of its proper subgroups are. In this paper, we give a classificatio
Externí odkaz:
http://arxiv.org/abs/1912.08185
Autor:
Zarrin, M.
If X is a non-empty subset of a finite group G, we denote by o(x) the order of x in G. Then we put The number o(X) is called the average order of X. Zapirain in 2011 , posed the following question: Let G be a finite (p-) group and N a normal (abelian
Externí odkaz:
http://arxiv.org/abs/1911.07641
Autor:
Khoramshahi, K., Zarrin, M.
For any group $G$, let $nacent(G)$ denote the set of all nonabelian centralizers of $G$. Amiri and Rostami in (Publ. Math. Debrecen 87/3-4 (2015), 429-437) put forward the following question: Let H and G be finite simple groups. Is it true that if $|
Externí odkaz:
http://arxiv.org/abs/1906.09424
Autor:
Taghvasani, L. J., Zarrin, M.
Let $G$ be a finite group and $S< G$. A cover for a group $G$ is a collection of subgroups of $G$ whose union is $G$. We use the term $n$-cover for a cover with $n$ members. A cover $\Pi =\{H_1, H_2, \dots, H_n\}$ is said to be a strict $\mathit{S}$-
Externí odkaz:
http://arxiv.org/abs/1804.06684
Let $G$ be a group, $m\geq2$ and $n\geq1$. We say that $G$ is an $\mathcal{T}(m,n)$-group if for every $m$ subsets $X_1, X_2, \dots, X_m$ of $G$ of cardinality $n$, there exists $i\neq j$ and $x_i \in X_i, x_j \in X_j$ such that $x_ix_j=x_jx_i$. In t
Externí odkaz:
http://arxiv.org/abs/1801.00113
Publikováno v:
پژوهش های علوم دامی, Vol 31, Iss 3, Pp 11-26 (2022)
Introduction: Livestock systems in developing countries located in tropical and sub-tropical regions are heavily dependent on the natural resources (i.e. pastures). In these countries, decreased pasture availability and quality during the dry season
Externí odkaz:
https://doaj.org/article/5eb3e3f665484c62b1ecfcbca4b6bfbe
