Trivial subgroup

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]

Definition

The trivial property is the subgroup property of being the trivial subgroup. In other words, a subgroup of a group is said to satisfy the trivial property if and only if it is the trivial subgroup (the subgroup comprising only the identity element).

Relation with other properties

Related metaproperties