Definition:Trivial Quotient Group
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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
Sources
- 1965: J.A. Green: Sets and Groups ... (previous) ... (next): $\S 7.4$. Kernel and image: Example $140$