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Groups in which all not completely factorable subgroups have a primary supplement

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Descriptions are obtained for the structure of finite nonsolvable groups in which all subgroups of nonprimary index are completely factorable and the structure of infinite, locally finite groups in which each not completely factorable subgroup has a primary supplement.

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Literature cited

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 302–308, March, 1990.

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Atamas', V.V. Groups in which all not completely factorable subgroups have a primary supplement. Ukr Math J 42, 269–273 (1990). https://doi.org/10.1007/BF01057007

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