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Groups with Various Minimal Conditions on Subgroups

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We briefly review some recent works on groups with the weak minimal condition on nonnilpotent subgroups. We also study the class of groups with the weak minimal condition on non-(soluble of derived length d) subgroups.

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Dixon, M.R., Evans, M.J. & Smith, H. Groups with Various Minimal Conditions on Subgroups. Ukrainian Mathematical Journal 54, 957–966 (2002). https://doi.org/10.1023/A:1021712220100

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