Finite groups whose minimal subgroups are weakly H*-subgroups

Let G be a finite group. A subgroup H of G is called an H-subgroup in G if N_{G}(H)∩H^{g}≤H for all g∈G. A subgroup H of G is called a weakly H^{∗}-subgroup in G if there exists a subgroup K of G such that G=HK and H∩K is an H-subgroup in G. We investigate the structure of the finite group G under t...

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Bibliographic Details
Main Authors: Abdelrahman Abdelhamid Heliel, Rola Asaad Hijazi, Reem Abdulaziz Al-Obidy
Format: Article
Language:English
Published: University of Isfahan 2014-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_3837_4ba7139afccee4a6543ffa5a60f76f6d.html