Difference between revisions of "Trivial subgroup"
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Revision as of 08:26, 18 May 2007
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
 Trivially true subgroup property is the subgroup metaproperty of being weaker than the trivial property. In other words, a subgroup property is said to be trivially true if it is always satisfied by trivial subgroups.