Complementability conditions for a periodic almost solvable subgroup in the group containing it
It is proved that if every prime Sylow subgroup of a periodic almost solvable (more generally, periodic W0-) subgroup H of a group G has a complement in G and if, moreover, H is at most countable and the set ?(H) is finite, the subgroup H itself possesses a complement in G.
English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 6, pp 741-745.
Citation Example: Chernikov N. S., Chernikov S. N. Complementability conditions for a periodic almost solvable subgroup in the group containing it // Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 822–826.