Hall's universal group

http://dbpedia.org/resource/Hall's_universal_group an entity of type: Abstraction100002137

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. rdf:langString
rdf:langString Hall's universal group
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rdf:langString 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.
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