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On finite a-groups with complementable nonmetacyclic subgroups

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Abstract

We study groupsG satisfying the following conditions: (i)G is a finite solvable group with non-Abelian commutant and Abelian Sylow subgroups; (ii) all nonmetacyclic subgroups ofG are complementable. We give a description of the structure of such groups with nonmetacyclic second commutant.

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Authors and Affiliations

  1. Kiev Aircraft University, Kiev

    P. P. Baryshovets

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  1. P. P. Baryshovets
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 9, pp. 1162–1169, September, 1995.

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Baryshovets, P.P. On finite a-groups with complementable nonmetacyclic subgroups. Ukr Math J 47, 1326–1333 (1995). https://doi.org/10.1007/BF01057507

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  • DOI: https://doi.org/10.1007/BF01057507

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