Groups with Nilpotent Factor-group by (polycyclic-by-Černikov )
Keywords:
soluble , Polycyclic-by-nilpotent, Countably recognizable group class, locally ( polycyclic-by-Černikov)Abstract
The aim of this article is study of groups with nilpotent Factor-group by (polycyclic-byČernikov ).A relevant role this investigation is played by the structure of groups in wich all propresubgroups are nilpotent-by-polycyclic-by-Černikov or polycyclic-by-Černikov -by-nilpotent ,
and such groups are discribed in the first part of the paper
References
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R. Baer: “Abzählbar erkennbare gruppentheoretische Eigenschaften”, Math. Z. 79 (1962), 344 363