Given some primary graded group
G, consider the subgroup
D generated by all non-complemented subgroups of
G. We obtain a full description of the structure of
G in the case that
D is included into the product of the Frattini subgroup and the center of
G.
Keywords primary graded group - locally almost soluble group - Frattini subgroup - center of a group - complemented subgroup
Original Russian Text Copyright © 2008 Vedernikov V. A. and Savicheva G. V.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 3, pp. 515–527, May–June, 2008.