MathGloss

A subset $H\subset G$ of the group $G$ is a subgroup of $G$ if it is itself a group under the operation inherited from $G$.

The subgroup axioms are

• closure under $*$;
• the identity element of $G$ is in $H$;
• for every $h\in H$, the inverse element $h^{-1}$ is also in $H$.

Wikidata ID: Q466109

This site is open source. Improve this page.