Raznoterost grup ne vsebuje vseh meta abelovih grup natanko tedaj, ko obstaja absolutna zgornja meja za razred nilpotentnosti močnih ▫$p$▫-grup, ki pripadajo tej raznoterosti. Podobno pokažemo, da ...raznoterost vsebuje le končno mnogo končnih ▫$p$▫-grup danega korazreda natanko tedaj, ko obstajajo grupe, ki niso razširitve abelove grupe z elementarno abelovo ▫$p$▫-grupo in pripadajo tej raznoterosti.
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