Finite A-groups with complementable nonmetacyclic subgroups |
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Authors: | P P Baryshovets |
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Institution: | (1) National Aviation University, Kiev |
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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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