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Math Help - kernel of an action

  1. #1
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    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
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    Quote Originally Posted by dori1123 View Post
    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?
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  3. #3
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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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