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V knige rassmatrivajutsya abelevy gruppy, soderzhashhie sobstvennuju vpolne harakteristicheskuju podgruppu, ne izomorfnuju samoj gruppe. Rassmotreny razlichnye klassy: separabel'nye gruppy, vpolne tranzitivnye gruppy, gruppy, yavlyajushhiesya pryamymi summami svoih vpolne harakteristicheskih podgrupp, periodicheskie i gruppy bez krucheniya, periodicheski polnye gruppy. Takzhe polucheny nekotorye rezul'taty, ispol'zuya opisanie I. Kaplanskogo vpolne harakteristicheskih grupp v terminah posledovatel'nostej poryadkovyh chisel i simvolov "beskonechnosti".