Add to ORKGAbstract. The generating graph Γ(H) of a finite group H is the graph defined on the elements of H with an edge between two vertices if and only if they generate H. We show that if H is a sufficiently large simple group with Γ(G) ∼ = Γ(H) for a finite group G, then G ∼ = H. We also prove that the generating graph of a symmetric group determines the group. 1
We assume to have information about the generating properties of the subsets of a finite group G. In...
Abstract. For a finite group G let Γ(G) be the (simple) graph defined on the elements of G with an e...
Given a finite group G, the generating graph Γ(G) of G has as vertices the non-identity elements of ...
The generating graph Λ(H) of a finite group H is the graph defined on the elements of H, with an edg...
The authors were supported by Universita di Padova (Progetto di Ricerca di Ateneo: Invariable genera...
For a finite group G a graph Γ(G) is defined on the elements of G in such a way that two distinct ve...
Abstract. The commuting graph of a group G, denoted by Γ(G), is a simple graph whose vertices are al...
The generating graph Γ(G) of a finite group G is the graph defined on the elements of G with an edge...
Abstract. The generating graph Γ(G) of a finite group G is the graph defined on the elements of G wi...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
Abstract. For a finite group G let Γ(G) denote the graph defined on the non-identity elements of G i...
For a finite group G let I"(G) denote the graph defined on the non-identity elements of G in such a ...
For a finite group G let I"(G) denote the graph defined on the non-identity elements of G in such a ...
For a finite group G a graph Gamma(G) is defined on the elements of G in such a way that two distinc...
We assume to have information about the generating properties of the subsets of a finite group G. In...
Abstract. For a finite group G let Γ(G) be the (simple) graph defined on the elements of G with an e...
Given a finite group G, the generating graph Γ(G) of G has as vertices the non-identity elements of ...
The generating graph Λ(H) of a finite group H is the graph defined on the elements of H, with an edg...
The authors were supported by Universita di Padova (Progetto di Ricerca di Ateneo: Invariable genera...
For a finite group G a graph Γ(G) is defined on the elements of G in such a way that two distinct ve...
Abstract. The commuting graph of a group G, denoted by Γ(G), is a simple graph whose vertices are al...
The generating graph Γ(G) of a finite group G is the graph defined on the elements of G with an edge...
Abstract. The generating graph Γ(G) of a finite group G is the graph defined on the elements of G wi...
AbstractFor a finite group G let Γ(G) denote the graph defined on the non-identity elements of G in ...
For a finite group G let Gamma(G) denote the graph defined on the non-identity elements of G in such...
Abstract. For a finite group G let Γ(G) denote the graph defined on the non-identity elements of G i...
For a finite group G let I"(G) denote the graph defined on the non-identity elements of G in such a ...
For a finite group G let I"(G) denote the graph defined on the non-identity elements of G in such a ...
For a finite group G a graph Gamma(G) is defined on the elements of G in such a way that two distinc...
We assume to have information about the generating properties of the subsets of a finite group G. In...
Abstract. For a finite group G let Γ(G) be the (simple) graph defined on the elements of G with an e...
Given a finite group G, the generating graph Γ(G) of G has as vertices the non-identity elements of ...