Assertion: commutator | /r/CapableOf | subgroup c$ of a group $g$
Facets:
Source sentences:
text: Definition 1: The commutator subgroup $C$ of a group $G$ is the subgroup generated by all elements of the form $xyx^{-1}y^{-1}$ for
text: $x, y\in G$. The Question: Show that the commutator subgroup $C$ of a group $G$ is normal and that $G/C$ is abelian.