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Literature cited
G. M. Romalis, “On meta-Hamiltonian groups,” Usp. Mat. Nauk,17, No. 6 (1962).
G. M. Romalis and N. F. Sesekin, “On meta-Hamiltonian groups. I,” Mat. Zap. Ural. Univ.,5, No. 3, 45–49 (1966).
N. F. Sesekin and G. M. Romalis, “On meta-Hamiltonian groups. II,” Mat. Zap. Ural. Univ.,6, No. 5, 50–53 (1968).
G. M. Romalis and N. F. Sesekin, “On meta-Hamiltonian groups. III,” Mat. Zap. Ural. Univ.,7, No. 3, 195–199 (1970).
S. N. Chernikov, “Infinite non-Abelian groups in which all infinite non-Abelian sub-groups are invariant,” Ukr. Mat. Zh.,23, No. 5, 604–628 (1971).
S. N. Chernikov, Groups with Prescribed Properties of a System of Subgroups [in Russian] Nauka, Moscow (1980).
V. T. Nagrebetskii, “Finite nonnilpotent groups in which each non-Abelian subgroup is invariant,” Mat. Zap. Ural. Univ.,6, No. 1, 80–88 (1967).
A. A. Makhnev, “On finite meta-Hamiltonian groups,” Mat. Zap. Ural. Univ.,10, No. 1 (1976).
N. F. Kuzennyi and N. N. Semko, “Structure of solvable nonnilpotent meta-Hamiltonian groups,” Mat. Zametki,34, No. 2, 179–188 (1983).
N. N. Semko and N. F. Kuzennyi, “Structure of metacyclic meta-Hamiltonian groups (methodological recommendations),” Kiev Pedagogic Institute, Kiev (1983).
N. N. Semko and N. F. Kuzennyi, “On the structure of infinite nilpotent periodic meta-Hamiltonian groups,” in: Structure of Groups and Their Subgroup Characterization [in Russian], Institute of Mathematics, Academy of Sciences of the UkrSSR, Kiev (1984), pp. 101–111.
N. N. Semko and N. F. Kuzennyi, “Structure of nilpotent nonperiodic meta-Hamiltonian groups”, Kiev (1984), VINITI No. 3208-84.
N. N. Semko and N. F. Kuzennyi, “Structure of finite meta-Abelian meta-Hamiltonian groups with nonelementary commutant,” Kiev (1984), VINITI No. 6016-84.
N. F. Kuzennyi and N. N. Semko, “Structure of solvable meta-Hamiltonian groups,” Dokl. Akad. Nauk UkrSSR. Ser. A, No. 2, 6–9 (1985).
N. F. Kuzennyi and N. N. Semko, “On the structure of nonperiodic meta-Hamiltonian groups,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 11, 32–40 (1986).
N. F. Kuzennyi and N. N. Semko, “Structure of periodic meta-Abelian meta-Hamiltonian groups with nonelementary commutant,” Ukr. Mat. Zh.,39, No. 2, 180–185 (1987).
N. F. Kuzennyi and I. Ya. Subbotin, “On almost quasicyclic groups,” Kiev (1986), UkrNIINTI No. 1742-Uk86.
N. F. Kuzennyi and I. Ya. Subbotin, “On semi-Abelian groups,” Kiev (1987), UkrNIINI No. 670-Uk87.
M. Hall, Jr., The Theory of Groups, Macmillan, New York (1959).
C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York-London (1962).
A. G. Kurosh, Theory of Groups [in Russian], Nauka, Moscow (1967).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 3, pp. 314–321, May–June, 1988.
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Kuzennyi, N.F., Levishchenko, S.S. Groups with invariant infinite non-Abelian subgroups. Ukr Math J 40, 267–273 (1988). https://doi.org/10.1007/BF01061303
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DOI: https://doi.org/10.1007/BF01061303