Left-realized subgroup property
This article defines a subgroup metaproperty: a property that can be evaluated to true/false for any subgroup property
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BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
This article is about a general term. A list of important particular cases (instances) is available at Category: Left-realized subgroup properties
A subgroup property is said to be left-realized if every group can be realized as a subgroup having that property (inside some group).
Definition with symbols
A subgroup property is said to be left-realized if, given any group , there is a group containing such that satisfies the property as a subgroup of .
In terms of realization operators
Relation with other metaproperties
A subgroup property which is not left-realized is termed left-unrealized.