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pro vyhledávání: '"Hassanabadi, A. Mohammadi"'
Let $G$ be a non-abelian group. The non-commuting graph $\mathcal{A}_G$ of $G$ is defined as the graph whose vertex set is the non-central elements of $G$ and two vertices are joint if and only if they do not commute. In a finite simple graph $\Gamma
Externí odkaz:
http://arxiv.org/abs/0903.0692
We associate a graph $\mathcal{C}_G$ to a non locally cyclic group $G$ (called the non-cyclic graph of $G$) as follows: take $G\backslash Cyc(G)$ as vertex set, where $Cyc(G)=\{x\in G | < x,y> \text{is cyclic for all} y\in G\}$ is called the cycliciz
Externí odkaz:
http://arxiv.org/abs/0810.0345
A group in which every element commutes with its endomorphic images is called an $E$-group. Our main result is that all 3-generator $E$-groups are abelian. It follows that the minimal number of generators of a finitely generated non-abelian $E$-group
Externí odkaz:
http://arxiv.org/abs/0709.3185
We associate a graph $\Gamma_G$ to a non locally cyclic group $G$ (called the non-cyclic graph of $G$) as follows: take $G\backslash Cyc(G)$ as vertex set, where $Cyc(G)=\{x\in G | \left \text{is cyclic for all} y\in G\}$, and join two ver
Externí odkaz:
http://arxiv.org/abs/0708.2327
A group in which every element commutes with its endomorphic images is called an $E$-group. If $p$ is a prime number, a $p$-group $G$ which is an $E$-group is called a $pE$-group. Every abelian group is obviously an $E$-group. We prove that every 2-g
Externí odkaz:
http://arxiv.org/abs/0708.2280
In this paper we prove that a set of points $B$ of PG(n,2) is a minimal blocking set if and only if $=PG(d,2)$ with $d$ odd and $B$ is a set of $d+2$ points of $PG(d,2)$ no $d+1$ of them in the same hyperplane. As a corollary to the latter result we
Externí odkaz:
http://arxiv.org/abs/0708.2282
Let $n>0$ be an integer and $\mathcal{X}$ be a class of groups. We say that a group $G$ satisfies the condition $(\mathcal{X},n)$ whenever in every subset with $n+1$ elements of $G$ there exist distinct elements $x,y$ such that $$ is in $\mathca
Externí odkaz:
http://arxiv.org/abs/math/0511667
Publikováno v:
In Procedia - Social and Behavioral Sciences 6 May 2014 98:1165-1173
Autor:
Abdollahi, Alireza **E-mail: abdolahi@math.ui.ac.ir., Hassanabadi, Aliakbar Mohammadi ††E-mail: aamohaha@math.ui.ac.ir., Taeri, Bijan ‡‡E-mail: b.taeri@cc.iut.ac.ir.
Publikováno v:
In Journal of Algebra 15 November 1999 221(2):570-578
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