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Math Help - Factor Group

  1. #1
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    Factor Group

    Dear Colleagues,

    I have the following question and I need a clear solution to it if possible.

    If G is a group what is G/G, that is the factor group (coset) of G by G.


    Regards,

    Raed.
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  2. #2
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    Quote Originally Posted by raed View Post
    Dear Colleagues,

    I have the following question and I need a clear solution to it if possible.

    If G is a group what is G/G, that is the factor group (coset) of G by G.


    Regards,

    Raed.


    It is isomorphic with the trivial group with one element, of course.

    Tonio
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  3. #3
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    Quote Originally Posted by tonio View Post
    It is isomorphic with the trivial group with one element, of course.

    Tonio
    Thank you for your reply. Could you please explain more what is the elements of G/G.

    Regards,

    Raed.
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  4. #4
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    Quote Originally Posted by raed View Post
    Thank you for your reply. Could you please explain more what is the elements of G/G.

    Regards,

    Raed.
    It is the unique coset there is, namely G=xG\,,\,\,\forall\,x\in G .

    Tonio
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