Group satisfying ascending chain condition on subnormal subgroups

Symbol-free definition
A group is said to satisfy the ascending chain condition on subnormal subgroups or the maximum condition on subnormal subgroups if it satisfies the following equivalent conditions:


 * 1) Any ascending chain of defining ingredient::subnormal subgroups stabilizes after a finite length.
 * 2) Any nonempty collection of subnormal subgroups has a maximal element: a member that is not contained in any other member of the collection.