This paper computes the generators of diagram group from the direct product of two free semigroups that is the presentation S=[X,Y|xy=yx(x∈X,y∈Y)] . The form of the graph of all pictures contain in this direct product is considered. The graph obtained is connected according to the length of word and the exponent sum of x and y. Then the number of the generator of the graph group can be determine
A presentation of the free group on finitely many generators in the variety generated by D
This report deals with applications of Graph Theory to Group Theory. Once we construct the graph ass...
Abstract. The generating graph Γ(H) of a finite group H is the graph defined on the elements of H wi...
For any given diagram group we have a graph. The aim of this research is to determine the graphs np ...
Copyright © 2013 A. M. Al-Odhari. This is an open access article distributed under the Creative Comm...
AbstractLet A be the collection of groups which can be assembled from infinite cyclic groups using t...
Let S be a nonabelian finite simple group and let n be an integer such that the direct product S (n)...
AbstractWe prove that the analog of the Grushko–Neumann theorem does not hold for profinite free pro...
In this article we discuss the diagram forms of semigroup presentations ...
The purpose of this paper is to determine the graphs Γ1(V1, E1), Γ2(V2, E2),Γ3(V3, E3),...,Γn(Vn, En...
This paper discuss about the number of exponents relation for generator of second homotopy mod...
The generating graph Λ(H) of a finite group H is the graph defined on the elements of H, with an edg...
AbstractAny graph is a subgraph of a Cayley diagram. Planar graphs are subgraphs of planar Cayley di...
AbstractIf X is a Cayley graph of a group G possessing a normal subgroup N, then there is a quotient...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
A presentation of the free group on finitely many generators in the variety generated by D
This report deals with applications of Graph Theory to Group Theory. Once we construct the graph ass...
Abstract. The generating graph Γ(H) of a finite group H is the graph defined on the elements of H wi...
For any given diagram group we have a graph. The aim of this research is to determine the graphs np ...
Copyright © 2013 A. M. Al-Odhari. This is an open access article distributed under the Creative Comm...
AbstractLet A be the collection of groups which can be assembled from infinite cyclic groups using t...
Let S be a nonabelian finite simple group and let n be an integer such that the direct product S (n)...
AbstractWe prove that the analog of the Grushko–Neumann theorem does not hold for profinite free pro...
In this article we discuss the diagram forms of semigroup presentations ...
The purpose of this paper is to determine the graphs Γ1(V1, E1), Γ2(V2, E2),Γ3(V3, E3),...,Γn(Vn, En...
This paper discuss about the number of exponents relation for generator of second homotopy mod...
The generating graph Λ(H) of a finite group H is the graph defined on the elements of H, with an edg...
AbstractAny graph is a subgraph of a Cayley diagram. Planar graphs are subgraphs of planar Cayley di...
AbstractIf X is a Cayley graph of a group G possessing a normal subgroup N, then there is a quotient...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
A presentation of the free group on finitely many generators in the variety generated by D
This report deals with applications of Graph Theory to Group Theory. Once we construct the graph ass...
Abstract. The generating graph Γ(H) of a finite group H is the graph defined on the elements of H wi...