We study groups in which the family L non-nn(G) of all not nearly normal subgroups has the Krull dimension. A subgroup H of a group G is called nearly normal if H has finite index in its normal closure.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 657–668, May, 2008.
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Semko, N.N., Piskun, M.M. On the application of some concepts of ring theory to the study of the influence of systems of subgroups of a group. Ukr Math J 60, 758–768 (2008). https://doi.org/10.1007/s11253-008-0087-7
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DOI: https://doi.org/10.1007/s11253-008-0087-7