The Automorphism Groups of the Involution G-Graph and Cayley Graph * - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Southeast Asian Bulletin of Mathematics Année : 2019

The Automorphism Groups of the Involution G-Graph and Cayley Graph *

A R Ashrafi
  • Fonction : Auteur
  • PersonId : 1076948
Alain Bretto
F Gholaminezhad
  • Fonction : Auteur
  • PersonId : 1076949

Résumé

Let G be a finite group and Φ(G, S) is the G−graph of a group G with respect to a non-empty subset S. The aim of this paper is to study the structure and the automorphism group of a simple form of G−graph for some finite groups like alternating group, dihedral, semi-dihedral, dicyclic, Zm δ Z2n, where δ is inverse mapping and V8n = {a, b|a 2n = b 4 = 1, aba = b −1 , ab −1 a = b}. Then we compare it with the automorphism group of the corresponding Cayley graph. Also we study the structure of involution G−graphs when S = Inv is the set of all involutions of G.
Fichier non déposé

Dates et versions

hal-02935723 , version 1 (16-09-2020)

Identifiants

  • HAL Id : hal-02935723 , version 1

Citer

A R Ashrafi, Alain Bretto, F Gholaminezhad. The Automorphism Groups of the Involution G-Graph and Cayley Graph *. Southeast Asian Bulletin of Mathematics, 2019. ⟨hal-02935723⟩
18 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More