Open AccessFinite Groups with Minimal CSS-subgroups
Author(s) -
A. A. Heliel,
Rola Hijazi,
Sultanah M. Alshammari
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i3.4036
Subject(s) - mathematics , index of a subgroup , combinatorics , subgroup , normal subgroup , characteristic subgroup , sylow theorems , fitting subgroup , finite group , group (periodic table) , p group , discrete mathematics , symmetric group , physics , quantum mechanics
Let G be a finite group. A subgroup H of G is called SS-quasinormal in G if there is a supplement B of H to G such that H permutes with every Sylow subgroup of B. A subgroup H of G is called CSS-subgroup in G if there exists a normal subgroup K of G such that G = HK and H ∩K is SS-quasinormal in G. In this paper, we investigate the influence of minimal CSS-subgroups of G on its structure. Our results improve and generalize several recent results in the literature.