Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes
Copyright policy )Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes
The paper deals with the class of locally graded groups such that each non-unit finitely generated subgroup of the group contains a non-unit subgroup of finite index; the class of RN-groups consists of groups with solvable subinvariant subgroup system; the class of RI-groups consists of groups with solvable invariant system. Let \(G\) be a group which belongs to one of these classes. There are conditions under which the quotient-group \(G/N\) belongs to the same class. Various variants of possible conditions are presented.
- Polish Academy of Sciences Poland
- National Academy of Sciences of Ukraine Ukraine
- National Pedagogic University Colombia
- Institute of Mathematics Poland
Generalizations of solvable and nilpotent groups, Derived series, central series, and generalizations for groups, Subgroup theorems; subgroup growth, Other classes of groups defined by subgroup chains, Kurosh-Chernikov classes, locally graded groups, groups with subgroup systems, Local properties of groups, Quasivarieties and varieties of groups
Generalizations of solvable and nilpotent groups, Derived series, central series, and generalizations for groups, Subgroup theorems; subgroup growth, Other classes of groups defined by subgroup chains, Kurosh-Chernikov classes, locally graded groups, groups with subgroup systems, Local properties of groups, Quasivarieties and varieties of groups
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