Locally graded groups with complemented infinite nonabelian subgroups

Infinite nonabelian groups with complemented infinite nonabelian subgroups are investigated. It is proved that, under the condition of being locally graded, these groups are locally finite and solvable, and all nonabelian subgroups are complemented in them if and only if they are non-Chernikov groups.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp, 1098–1100, July–August, 1991.