On NR*-subgroups of finite groups
Authors : Xianggui Zhong
Pages : 240-245
Doi:10.3906/mat-1305-12
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let G be a finite group and let H be a subgroup of G. H is said to be an NR*-subgroup of G if there exists a normal subgroup T of G such that G = HT and if whenever K \lhd H and g \in G, then Kg \cap H \cap T\leq K. A number of new characterizations of a group G are given, under the assumption that all Sylow subgroups of certain subgroups of G are NR*-subgroups.Keywords : Finite group, NR*-subgroup, the generalized Fitting subgroup, saturated formation