Turkish Journal of Mathematics
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 K^g \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.
DOI
10.3906/mat-1305-12
Keywords
Finite group, NR^*-subgroup, the generalized Fitting subgroup, saturated formation
First Page
240
Last Page
245
Recommended Citation
ZHONG, X (2014). On NR^*-subgroups of finite groups. Turkish Journal of Mathematics 38 (2): 240-245. https://doi.org/10.3906/mat-1305-12
