![On S*--Supplemented Subgroups of Finite Groups (1) (P--Nilpotent Groups, Primary Subgroups, Supplemented Subgroups, Solvable Group)](/assets/artwork/1x1-42817eea7ade52607a760cbee00d1495.gif)
![On S*--Supplemented Subgroups of Finite Groups (1) (P--Nilpotent Groups, Primary Subgroups, Supplemented Subgroups, Solvable Group)](/assets/artwork/1x1-42817eea7ade52607a760cbee00d1495.gif)
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On S*--Supplemented Subgroups of Finite Groups (1) (P--Nilpotent Groups, Primary Subgroups, Supplemented Subgroups, Solvable Group)
Scientia Magna, 2007, June, 3, 2
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Beschrijving uitgever
Abstract A subgroup H of a group G is said to be [s.sup.*]--supplemented subgroups in G if there exists a subgroup K of G such that G = HK and H [intersection] K [less than or equal to] [H.sub.SG], where [H.sub.SG] is the largest subnormal subgroup of G contained in H. In this paper we determine the structure of finite groups with [s.sup.*]--supplemented primary subgroups,and obtain some new results about p--nilpotent groups. Keywords P--nilpotent groups, primary subgroups, [s.sup.*]--supplemented subgroups, solvable group.
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