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Thread: kernel of an action

  1. #1
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    kernel 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 $\displaystyle g \in G$
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  2. #2
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    Quote Originally Posted by dori1123 View Post
    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 $\displaystyle g \in G$
    How do you define kernel of a group action?
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    I've attached a document. Thank you.
    Attached Files Attached Files
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  4. #4
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    Can anyone help me with this?
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