Literature cited
L. A. Kurdachenko, “Groups satisfying weak minimal and maximal conditions for normal subgroups,” Sib. Mat. Zh.,20, No. 5, 1068–1076 (1979).
L. A. Kurdachenko, “Locally nilpotent groups with weak minimal condition for normal subgroups,” Sib. Mat. Zh.,25, No. 4, 99–106 (1984).
L. A. Kurdachenko, “Locally nilpotent groups with weak minimal condition for normal subgroups,” in: Proceedings VII All-Union Symposium on Group Theory, Krasnoyarsk University Press (1980), p. 62.
D. I. Zaitsev, “Groups with complemented normal subgroups,” in: Some Questions in Group Theory, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1975), pp. 30–74.
B. Hartley and D. McDougall, “Injective modules and soluble groups satisfying the minimal condition for normal subgroups,” Bull. Austral. Math. Soc.,4, No. 1, 113–135 (1971).
D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Vol. 2, Springer-Verlag, Berlin (1972).
D. I. Zaitsev, “Infinitely irreducible normal subgroups,” in: Structure of Groups and Properties of Their Subgroups, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1978), pp. 17–38.
D. I. Zaitsev, “Complementation of subgroups in extremal groups,” in: Investigation of Groups with Prescribed Properties of Subgroups, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1974), pp. 72–130.
B. Hartley, “A dual approach to Černikov modulers,” Math. Proc. Cambridge Philos. Soc.,82, No. 2, 215–239 (1977).
N. Bourbaki, Algèbre. Ch. 8. Modules et anneaux semisimples, Hermann, Paris (1958).
D. I. Zaitsev, “On the theory of minimax groups,” Ukr. Mat. Zh.,23, No. 5, 652–660 (1971).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 4, pp. 457–462, July–August, 1985.
Rights and permissions
About this article
Cite this article
Kurdachenko, L.A., Tushev, A.V. Some classes of groups with weak minimal condition for normal subgroups. Ukr Math J 37, 364–368 (1985). https://doi.org/10.1007/BF01055949
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01055949