2017
Том 69
№ 7

All Issues

Locally graduated groups with complemented infinite nonprimary subgroups

Mishchenko B. I.

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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.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 6, pp 756-758.

Citation Example: Mishchenko B. I. Locally graduated groups with complemented infinite nonprimary subgroups // Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 839–842.

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