We study a Z G-module A in the case where the group G is locally solvable and satisfies the condition min–naz and its cocentralizer in A is not an Artinian Z-module. We prove that the group G is solvable under the conditions indicated above. The structure of the group G is studied in detail in the case where this group is not a Chernikov group.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 1, pp. 44–51, January, 2009.
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Dashkova, O.Y. On one class of modules over integer group rings of locally solvable groups. Ukr Math J 61, 50–56 (2009). https://doi.org/10.1007/s11253-009-0197-x
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DOI: https://doi.org/10.1007/s11253-009-0197-x