Abstract
The investigations of infinite groups with certain systems of complemented infinite subgroups, suggested by Chernikov, are continued. It is proved that an infinic locally graduated, nonprimary group with complemented infinite nonprimary subgroups is locally finite and solvable, and all of its nonprimary subgroups have complements if and only if it is not Chernikov.
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Literature cited
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 6, pp. 839–842, June, 1992.
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Mishchenko, B.I. Locally graduated groups with complemented infinite nonprimary subgroups. Ukr Math J 44, 756–758 (1992). https://doi.org/10.1007/BF01056960
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DOI: https://doi.org/10.1007/BF01056960