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Sufficient conditions for the complementability of maximal cyclic subgroups in a finite 2-group

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Abstract

We present sufficient conditions for each maximal cyclic subgroup of a finite 2-group to be complementable.

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References

  1. L. M. Klyatskaya, “Abelian groups all maximal subgroups of which of fixed rank are complementable,” in:Groups with Restrictions Imposed on Subgroups [in Russian], Naukova Dumka, Kiev (1971).

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  2. V. A. Kreknin, I. I. Mel'nik, V. F. Malik, and O. K. Shilovskaya, “Finite 2-groups with complementable maximal cyclic subgroups,” in:Infinite Groups and Related Algebraic Structures [in Russian], Institute of Mathematics, Kiev (1993), pp. 104–143.

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  3. N. S. Chernikov,Groups Decomposable into Products of Permutation Subgroups, Naukova Dumka, Kiev (1987).

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Authors and Affiliations

  1. Kherson Pedagogical Institute, Kherson

    V. A. Kreknin & I. I. Mel'nik

Authors
  1. V. A. Kreknin
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  2. I. I. Mel'nik
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Additional information

Translated from Ukrainskii Matematichesldi Zhurnal, Vol. 46, No. 11, pp. 1572–1575, November, 1994.

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Kreknin, V.A., Mel'nik, I.I. Sufficient conditions for the complementability of maximal cyclic subgroups in a finite 2-group. Ukr Math J 46, 1740–1743 (1994). https://doi.org/10.1007/BF01058893

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  • DOI: https://doi.org/10.1007/BF01058893

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