TY - JOUR
TI - Finite Groups with Minimal CSS-subgroups
PY - 2021/08/05
Y2 - 2024/07/16
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 14
IS - 3
LA - en
DO - 10.29020/nybg.ejpam.v14i3.4036
UR - https://doi.org/10.29020/nybg.ejpam.v14i3.4036
SP - 1002-1014
AB - 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 âˆ©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.
ER -