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Local embeddings of some families of subgroups of finite groups
Authors:A Ballester-Bolinches  Luis M Ezquerro  Alexander N Skiba
Institution:(1) Departament d’àlgebra, Universitat de València, Dr. Moliner, 50, E-46100 Burjassot, València, Spain;(2) Departamento of Matemáticas, Universidad Pública de Navarra, Campus de Arrosadía, E-31006 Pamplona, Navarra, Spain;(3) Department of Mathematics, Gomel State University F. Skorina, Gomel, 246019, Belarus
Abstract:In this paper we study the influence of the partial cover and avoidance property on the subgroups of some relevant families of subgroups in a finite group. The first and the second authors are partially supported by Proyecto MTM 2007-68010-C03-02 and MTM 2007-68010-C03-01, respectively, of Ministerio de Educación y Ciencia of Spain
Keywords:Finite group  cover-avoidance property            p-supersoluble groups  saturated formation
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