Abstract
In the theory of infinite groups, one of the most important useful generalizations of the classical Maschke theorem is the Kovačs-Newman theorem, which establishes sufficient conditions for the existence of G-invariant complements in modules over a periodic group G finite over the center. We genralize the Kovačs-Newman theorem to the case of modules over a group ring KG, where K is a Dedekind domain.
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Dnepropetrovsk University, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 2, pp. 255–261, February, 1997.
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Petrenko, B.V. On direct decompositions in modules over group rings. Ukr Math J 49, 281–288 (1997). https://doi.org/10.1007/BF02486442
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DOI: https://doi.org/10.1007/BF02486442