Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 2
On NR*-subgroups of finite groups
- Sayfa
- 240–245
- DOI
- —
Özet
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.
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.