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- Basic_subgroup abstract "In abstract algebra, a basic subgroup is a subgroup of an abelian group which is a direct sum of cyclic subgroups and satisfies further technical conditions. This notion was introduced by L. Ya. Kulikov (for p-groups) and by László Fuchs (in general) in an attempt to formulate classification theory of infinite abelian groups that goes beyond the Prüfer theorems. It helps to reduce the classification problem to classification of possible extensions between two well understood classes of abelian groups: direct sums of cyclic groups and divisible groups.".
- Basic_subgroup wikiPageID "27974802".
- Basic_subgroup wikiPageRevisionID "599869000".
- Basic_subgroup hasPhotoCollection Basic_subgroup.
- Basic_subgroup subject Category:Abelian_group_theory.
- Basic_subgroup subject Category:Infinite_group_theory.
- Basic_subgroup subject Category:Subgroup_properties.
- Basic_subgroup type Abstraction100002137.
- Basic_subgroup type Possession100032613.
- Basic_subgroup type Property113244109.
- Basic_subgroup type Relation100031921.
- Basic_subgroup type SubgroupProperties.
- Basic_subgroup comment "In abstract algebra, a basic subgroup is a subgroup of an abelian group which is a direct sum of cyclic subgroups and satisfies further technical conditions. This notion was introduced by L. Ya. Kulikov (for p-groups) and by László Fuchs (in general) in an attempt to formulate classification theory of infinite abelian groups that goes beyond the Prüfer theorems.".
- Basic_subgroup label "Basic subgroup".
- Basic_subgroup sameAs m.0ch25z6.
- Basic_subgroup sameAs Q4867054.
- Basic_subgroup sameAs Q4867054.
- Basic_subgroup sameAs Basic_subgroup.
- Basic_subgroup wasDerivedFrom Basic_subgroup?oldid=599869000.
- Basic_subgroup isPrimaryTopicOf Basic_subgroup.