
AbstractIn this paper we study groups with Černikov conjugacy classes which are nilpotent-by-Černikov groups, giving full characterizations of them and applying the results obtained to some related areas.
General structure theorems for groups, centre-by- Chernikov groups, FC-groups and their generalizations, Generalizations of solvable and nilpotent groups, Nilpotent groups, Subgroup theorems; subgroup growth, nilpotent-by-Chernikov groups, Chernikov-by-nilpotent \(CC\)-groups, Chernikov-by-abelian groups, finite-by-nilpotent groups
General structure theorems for groups, centre-by- Chernikov groups, FC-groups and their generalizations, Generalizations of solvable and nilpotent groups, Nilpotent groups, Subgroup theorems; subgroup growth, nilpotent-by-Chernikov groups, Chernikov-by-nilpotent \(CC\)-groups, Chernikov-by-abelian groups, finite-by-nilpotent groups
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