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- Halls_universal_group abstract "In algebra, Hall's universal group isa countable locally finite group, say U, which is uniquely characterized by the following properties. Every finite group G admits a monomorphism to U. All such monomorphisms are conjugate by inner automorphisms of U.It was defined by Philip Hall in 1959, and has the universal property that all countable locally finite groups embed into it.".
- Halls_universal_group wikiPageID "9416036".
- Halls_universal_group wikiPageLength "1919".
- Halls_universal_group wikiPageOutDegree "12".
- Halls_universal_group wikiPageRevisionID "655478234".
- Halls_universal_group wikiPageWikiLink Algebra.
- Halls_universal_group wikiPageWikiLink Category:Infinite_group_theory.
- Halls_universal_group wikiPageWikiLink Category:Permutation_groups.
- Halls_universal_group wikiPageWikiLink Cayleys_theorem.
- Halls_universal_group wikiPageWikiLink Direct_limit.
- Halls_universal_group wikiPageWikiLink Inner_automorphism.
- Halls_universal_group wikiPageWikiLink Locally_finite_group.
- Halls_universal_group wikiPageWikiLink Monomorphism.
- Halls_universal_group wikiPageWikiLink Permutation.
- Halls_universal_group wikiPageWikiLink Philip_Hall.
- Halls_universal_group wikiPageWikiLink Symmetric_group.
- Halls_universal_group wikiPageWikiLinkText "Hall's universal group".
- Halls_universal_group subject Category:Infinite_group_theory.
- Halls_universal_group subject Category:Permutation_groups.
- Halls_universal_group comment "In algebra, Hall's universal group isa countable locally finite group, say U, which is uniquely characterized by the following properties. Every finite group G admits a monomorphism to U. All such monomorphisms are conjugate by inner automorphisms of U.It was defined by Philip Hall in 1959, and has the universal property that all countable locally finite groups embed into it.".
- Halls_universal_group label "Hall's universal group".
- Halls_universal_group sameAs Q5642537.
- Halls_universal_group sameAs m.0287_bj.
- Halls_universal_group sameAs Q5642537.
- Halls_universal_group wasDerivedFrom Halls_universal_group?oldid=655478234.
- Halls_universal_group isPrimaryTopicOf Halls_universal_group.