Abstract
We generalize the well-known nition of complementability of subgroups. We describe the structure of nondispersible generalized factorized groups all subgroups of which are dispersible.
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References
L. S. Mozharovskaya, “Finite nilpotent DC-groups,” in: Some Problems in the Theory of Groups [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1975), pp. 141–159.
S. S. Levishchenko and N. F. Kuzennyi, Groups with Conditions of Dispersibility for Subgroups [in Russian], Kiev Pedagogic Institute, Kiev (1985).
N. Yu. Verpatova, Constructive Description of Finite Primary Groups with Generalized Complementable Subgroups [in Russian], Dep. at Ukr. INTEI, No. 1167, Kiev (1992).
Additional information
Ukrainian Pedagogical University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 8, pp. 1025–1031, August. 1997.
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Verpatova, N.Y. Generalized factorized groups with dispersible subgroups. Ukr Math J 49, 1150–1157 (1997). https://doi.org/10.1007/BF02487544
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DOI: https://doi.org/10.1007/BF02487544