Question(i) [3pts] $x^{-1} y^{-1} x y \in H$ for all $x, y \in G$ then $I I$ is normal subgroup of G

Studdy Solution
Conclude that since $g^{-1} h g \in H$ for all $g \in G$ and $h \in H$, $H$ is indeed a normal subgroup of $G$.