Geodesic
Infinite nonabelian groups with minimal condition for non-normal subgroups
Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 11-18.

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Infinite nonabelian groups which do not possess a descending chain of non-normal subgroups are examined. It is established that under certain additional conditions, in particular the condition of the existence of a normal system with finite factors, the class of all such groups consists only of infinite extremal nonabelian groups and infinite hamiltonian groups, see [6]. 
@article{MZM_1969_6_1_a1,
     author = {S. N. Chernikov},
     title = {Infinite nonabelian groups with minimal condition for non-normal subgroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {11--18},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a1/}
}
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S. N. Chernikov. Infinite nonabelian groups with minimal condition for non-normal subgroups. Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 11-18. http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a1/