I proved that $\displaystyle G_b = gG_ag^{-1}$. How to deduce that if $\displaystyle G$ acts transitively on the set $\displaystyle A$, then the kernel of the action is the intersection of $\displaystyle gG_ag^{-1}$ for every $\displaystyle g \in G$
I proved that $\displaystyle G_b = gG_ag^{-1}$. How to deduce that if $\displaystyle G$ acts transitively on the set $\displaystyle A$, then the kernel of the action is the intersection of $\displaystyle gG_ag^{-1}$ for every $\displaystyle g \in G$