We study RG-modules that do not contain nonzero G-perfect factors. In particular, it is shown that if a group G is finite and R is a Dedekind domain with some additional restrictions, then these RG-modules are G-nilpotent.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, No. 10, pp. 1387–1401, October, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i10.7555.
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Kurdachenko, L., Pypka, O. & Subbotin, I. On the Nilpotency of Some Modules Over Group Rings. Ukr Math J 75, 1573–1589 (2024). https://doi.org/10.1007/s11253-024-02279-x
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DOI: https://doi.org/10.1007/s11253-024-02279-x