A subgroup H of a group G is called almost polycyclically close to a normal group (in G ) if H contains a subgroup L normal in H G for which the quotient group H G/L is almost polycyclic. The group G is called an anti-PC-group if each its subgroup, which is not almost polycyclic, is almost polycyclically close to normal. The structure of minimax anti-PC-groups is investigated.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 10, pp. 1381–1395, October, 2009.
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Semko, M.M., Pyskun, M.M. On some generalizations of nearly normal subgroups. Ukr Math J 61, 1624–1639 (2009). https://doi.org/10.1007/s11253-010-0302-1
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DOI: https://doi.org/10.1007/s11253-010-0302-1