Triangles in the graph of conjugacy classes of normal subgroups

[EN] Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph G(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph consists in exactly one triangle.

Detalles Bibliográficos
Autores: Beltrán, Antonio, Melchor, Carmen, Felipe Román, María Josefa|||0000-0002-6699-3135
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/149080
Acceso en línea:https://riunet.upv.es/handle/10251/149080
Access Level:acceso abierto
Palabra clave:Finite groups
Conjugacy classes
Normal subgroups
Graphs
MATEMATICA APLICADA
Descripción
Sumario:[EN] Let G be a finite group and N a normal subgroup of G. We determine the structure of N when the graph G(N), which is the graph associated to the conjugacy classes of G contained in N, has no triangles and when the graph consists in exactly one triangle.