Definition:Trivial Quotient Group

Definition
Let $G$ be a group.

The quotient group:
 * $G / \set {e_G} \cong G$

where:
 * $\cong$ denotes group isomorphism
 * $e_G$ denotes the identity element of $G$.

is known as the trivial quotient group.

Also see

 * Trivial Quotient Group is Quotient Group