On noncommutative serving extensions of groups

The paper studies serving extensions of noncommutative groups in the sense of the definition transferred naturally from the theory of Abelian groups. The basic results are those continuing the Los Theorem on the de composability of Abelian serving extensions of algebraic compact groups in the category of all groups.Translated from Matematicheskie Zametki, Vol. 11, No. 3, pp. 283–291, March, 1972.The author wishes to take this opportunity to thank her scientific adviser Prof. L. Ya. Kulikov for his attention to this work.