برگزار شده توسط : دانشگاه تربیت دبیر شهید رجائی
تاریخ برگزاری : 13 بهمن ماه 1402
In a binary digital image, a point is called simple point if its deletation preserves the digital topology of the associated image.The knowledge of simple points in a digital image and the process of deletion of the simple points provides the the و...
Let p be a prime number. We show that, two concepts of capability and 2-capability are equivalent for each finite 2-generator p-group of class two و...
Suppose G is a finite group, and K is a normal solvable subgroup of G. In this paper, we present a powerful method which is called K-Exit. Using this method, we find some members of π(G) that are not members of π(K) and for this purpose, we intro و...
In this article, we explore the adjacency matrix of a two-sided group graph and its properties. We introduce the twosided color group digraph as a generalization of the Cayley color graph and the two-sided group digraph and obtain the adjacency m و...
Group classification of differential equations is undoubtedly a constructive method for comprehensive scrutinizing symmetry properties of various classes of differential equations. This paper is structurally devoted to preliminary group classificat و...
A central question in the theory of permutation codes is determining the value of $P(n,d)$, representing the size of the largest subset of the set of all permutations on $ 1,ldots, n $, $S_n$, with minimum Kendall $ au$-distance $d$. In this paper و...
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Abstract. The main aim of this talk is to present new results on symmetric designs admitting flag-transitive automorphism groups of affine type. Symmetric designs admitting flag-transitive automorphism groups are of most interest. A classificatio و...
Let $(G,M)$ be a pair of groups, such that $M$ is a normal subgroup of $G$. oindent This paper study some more properties subgroup and quetion group of two $ u$-isologism pair of groups, that they are $ u$-isologic for all $mle n$ and properties of و...
We call the hypergroup H a regular hypergroup if E(H)≠∅, and for every x ∈ H, C(x)≠∅, where E(H) is the set of all identity elements of H and C(x) is the set of all inverses of x. Then we show that, on a regular hypergroup H, the set of all strong و...
In this paper, we introduce a new class of regular graphs which is related to Grassmann graphs, and we called this class of graphs the em folded doubled Grassmann graph . Grassmann graph and its related graphs, such as doubled Grassmann graph and tw و...
We consider the finitely presented group G_m, as follow; G_m=,mgeq2. In this paper, first we introduce a new generalization of k-Padovan sequence in a finite group G. Then we study this generalization in the group G_m for k=1,2 و...
In this paper, we study $pi$-separable groups whose all irreducible $pi$-partial characters are monomial, which we call $M_ pi $-group. We study the structure of $M_ pi $-groups. We show if $G$ is $M_ pi $-group then $G/O_ pi^ (G)$ is solvable and و...
Finding hamiltonian cycles in Cayley graphs is a fundamental question in graph theory, but in general it is extremely difficult. There are numerous papers on this topic, but it is still an open question whether every Cayley graph on finite group of و...
Let $G$ be an infinite group. Assume that $M$ is a soluble maximal subgroup of $G$ with normal supplement $N$ such that $Mcap NsubCore_G(M)$. We fined some necessary condition for solvablity of $G$. و...
For a positive integer $l$ and a finite group $G$, let $$ S^l_ nm (G)=frac Sigma_ chi in m Irr _ nm (G) chi^l(1) Sigma_ chi in m Irr _ nm (G) chi^ l-1 (1) ,$$ where $ m Irr _ nm (G) $ denotes the set of non-monomial characters of $G$. S و...
Let G be a group, Aut(G) and L(G) denote the full automorphisms group and absolute center of G, respectively. An automorphism α ∈ Aut(G) is called autocentral automorphism if g−1α(g) ∈ L(G), for all g ∈ G. In this talk, the elements of a group that a و...
فرض کنیم $G$ یک گروه باشد که با شبه‌تزویج روی خودش عمل می‌کند. همچنین فرض کنیم $ m fix(G) $، مجموعه نقاط ثابت $G$ در این عمل باشد. گراف غیرپایدارساز $ abla_ m s (G)$ از $G$، یک گراف ساده غیرجهت‌دار است که به شکل زیر تعریف می‌شود: مجموعه $Gsetmin و...
For non-zero even integers $a,b$ and $c$, we consider the finitely presented group $J(a, b, c)$ such that; egin align* J(a, b, c)= &langle x, y, z mid x^ y = y^ b-2 x^ -1 y^ b+2 , y^ z = z^ c-2 y^ -1 z^ c+2 , \ & z^ x = x^ a-2 z^ -1 x و...
Abstract. A subset C of the vertex set of a graph Γ is said to be ( a, b )-regular if C induces an a -regular subgraph and every vertex outside C is adjacent to exactly b vertices in C . In particular, if C is an ( a, b )-regular set of some Cayle و...
In this paper, we classify some finite p-groups whose normal subgroups are characteristic و...
In 1979, Fay and Waals introduced the n-potent as G_n=. In this paper, we extend the above mentioned concept to a new concept, say Aut(G)_n as Aut(G)_n=$. It is easily seen that Aut(G)_n equals G_n when automorphism group of G runs over to Inner auto و...