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 $\displaystyle g \in G$

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- Oct 24th 2008, 04:51 PMdori1123kernel of an action
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 $\displaystyle g \in G$

- Oct 25th 2008, 03:04 PMThePerfectHacker
- Oct 25th 2008, 05:32 PMdori1123
I've attached a document. Thank you.

- Oct 26th 2008, 09:34 PMdori1123
Can anyone help me with this?