This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
A group embeddable in a finitary symmetric group is a group that can be expressed as a subgroup of the finitary symmetric group on some set.
Relation with other properties
This group property is subgroup-closed, viz., any subgroup of a group satisfying the property also satisfies the property
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This group property is restricted direct product-closed, viz., a restricted direct product of groups, each having the property, also has the property.
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