# kernel of an action

• Oct 24th 2008, 05:51 PM
dori1123
kernel of an action
I proved that $G_b = gG_ag^{-1}$. How to deduce that if $G$ acts transitively on the set $A$, then the kernel of the action is the intersection of $gG_ag^{-1}$ for every $g \in G$
• Oct 25th 2008, 04:04 PM
ThePerfectHacker
Quote:

Originally Posted by dori1123
How to deduce that if $G$ acts transitively on the set $A$, then the kernel of the action is the intersection of $gG_ag^{-1}$ for every $g \in G$

How do you define kernel of a group action?
• Oct 25th 2008, 06:32 PM
dori1123
I've attached a document. Thank you.
• Oct 26th 2008, 10:34 PM
dori1123
Can anyone help me with this?