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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 wikiPageLength "2846".
- Basic_subgroup wikiPageOutDegree "27".
- Basic_subgroup wikiPageRevisionID "599869000".
- Basic_subgroup wikiPageWikiLink Abelian_group.
- Basic_subgroup wikiPageWikiLink Abstract_algebra.
- Basic_subgroup wikiPageWikiLink Basis_(linear_algebra).
- Basic_subgroup wikiPageWikiLink Category:Abelian_group_theory.
- Basic_subgroup wikiPageWikiLink Category:Infinite_group_theory.
- Basic_subgroup wikiPageWikiLink Category:Subgroup_properties.
- Basic_subgroup wikiPageWikiLink Cyclic_group.
- Basic_subgroup wikiPageWikiLink Dense_set.
- Basic_subgroup wikiPageWikiLink Direct_sum.
- Basic_subgroup wikiPageWikiLink Divisible_group.
- Basic_subgroup wikiPageWikiLink Free_abelian_group.
- Basic_subgroup wikiPageWikiLink Group_extension.
- Basic_subgroup wikiPageWikiLink Hausdorff_space.
- Basic_subgroup wikiPageWikiLink Induced_topology.
- Basic_subgroup wikiPageWikiLink P-group.
- Basic_subgroup wikiPageWikiLink Prime_number.
- Basic_subgroup wikiPageWikiLink Principal_ideal_domain.
- Basic_subgroup wikiPageWikiLink Prüfer_theorems.
- Basic_subgroup wikiPageWikiLink Pure_subgroup.
- Basic_subgroup wikiPageWikiLink Subgroup.
- Basic_subgroup wikiPageWikiLink Vector_space.
- Basic_subgroup wikiPageWikiLinkText "Basic subgroup#Generalization to modules".
- Basic_subgroup wikiPageWikiLinkText "basic".
- Basic_subgroup wikiPageUsesTemplate Template:Citation.
- Basic_subgroup wikiPageUsesTemplate Template:MR.
- Basic_subgroup subject Category:Abelian_group_theory.
- Basic_subgroup subject Category:Infinite_group_theory.
- Basic_subgroup subject Category:Subgroup_properties.
- Basic_subgroup hypernym Subgroup.
- Basic_subgroup type EthnicGroup.
- Basic_subgroup type Property.
- 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 Q4867054.
- Basic_subgroup sameAs m.0ch25z6.
- Basic_subgroup sameAs Q4867054.
- Basic_subgroup wasDerivedFrom Basic_subgroup?oldid=599869000.
- Basic_subgroup isPrimaryTopicOf Basic_subgroup.