شماره ركورد كنفرانس :
4371
عنوان مقاله :
The Structure of finite groups with trait of non-normal subgroups
پديدآورندگان :
Mousavi Hamid hmousavi@tabrizu.ac.ir University of Tabriz , Tiemouri Goli g.taimory@tabrizu.ac.ir University of Tabriz
كليدواژه :
Non , normal subgroups , Conjugace Class , Non , nilpotent groups
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گروه هاي ايران
چكيده فارسي :
In this paper, we classify all the finite groups all of whose non-normal nilpotent subgroups are cyclic. We show that such groups are solvable with cyclic centers. If $G$ is a non-
(supersolvable group, then $G$ has only one non-cyclic Sylow subgroup which is either isomorphic to $Q_8$ or is of type (q,q