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Structure of one class of groups with conditions of denseness of normality for subgroups

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Abstract

We give a constructive description of locally graded groups G satisfying the following condition: For any pair of subgroups A and B such that A<B, there exists a normal subgroup N that belongs to G and is such that A≦N≦B.

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Scientific-Research Institute of Pedagogics, Academy of Pedagogical Sciences of Ukraine, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 8, pp. 1148–1151, August, 1997.

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Semko, M.M. Structure of one class of groups with conditions of denseness of normality for subgroups. Ukr Math J 49, 1292–1295 (1997). https://doi.org/10.1007/BF02487555

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  • DOI: https://doi.org/10.1007/BF02487555

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