Definition:Non-Trivial Group

Definition

A non-trivial group is a group which is not the trivial group.

It is often used in arguments to exclude the sometimes erratic behaviour of the trivial group.

Also see

• Definition:Trivial Group

• Definition:Trivial Subgroup
• Definition:Non-Trivial Subgroup

Sources

• 1978: John S. Rose: A Course on Group Theory ... (previous) ... (next): $0$: Some Conventions and some Basic Facts