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One condition of complementability in groups

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Abstract

We consider groups satisfying the following condition: Any subgroup of such a group that can be complemented in a larger subgroup can also be complemented in the entire group. A complete description of such groups is obtained under some weak conditions of finiteness.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    N. S. Chernikov

  2. Perm University, Perm, Russia

    G. A. Malan’ina

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  1. N. S. Chernikov
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  2. G. A. Malan’ina
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Chernikov, N.S., Malan’ina, G.A. One condition of complementability in groups. Ukr Math J 48, 1609–1617 (1996). https://doi.org/10.1007/BF02377828

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  • DOI: https://doi.org/10.1007/BF02377828

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