Abstract
We study groups G that satisfy the following conditions
(i) G is a finite solvable group with nonidentity primary metacyclic second commutator subgroup
(ii) all Sylow subgroups of G are elementary Abelian.
We describe the structure of groups of this type with complementable nonmetacyclic subgroups.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 5, pp. 607–615, May, 2006.
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Baryshovets, P.P. Finite A-groups with complementable nonmetacyclic subgroups. Ukr Math J 58, 685–693 (2006). https://doi.org/10.1007/s11253-006-0094-5
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DOI: https://doi.org/10.1007/s11253-006-0094-5