STRUCTURE OF FINITE GROUPS WITH TRAIT OF NON-NORMAL SUBGROUPS II

چکیده مقاله

A finite non-Dedekind group G is called an NAC-group if all non-normal abelian subgroups are cyclic. In this paper, all finite NAC-groups will be characterized. Also, it will be shown that the center of non-nilpotent NAC- groups is cyclic. If NAC-group G has a non-abelian non-normal Sylow subgroup of odd order, then other Sylow subgroups of G are cyclic or of quaternion type.