Turkish Journal of Mathematics
DOI
10.3906/mat-1305-12
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.
Keywords
Finite group, NR^*-subgroup, the generalized Fitting subgroup, saturated formation
First Page
240
Last Page
245
Recommended Citation
ZHONG, XIANGGUI
(2014)
"On NR^*-subgroups of finite groups,"
Turkish Journal of Mathematics: Vol. 38:
No.
2, Article 6.
https://doi.org/10.3906/mat-1305-12
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss2/6
