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Math Help - Group theory problem with congruence relations

  1. #1
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    Group theory problem with congruence relations

    How do I prove this a+N=N+a where a+N={a+n:n member of N} and
    N+a={n+a:n member of N}
    Let G=(G,+,-,0) be a group.
    Let thata be member congruence(G).
    Let N=[0]thata.

    Then For all a member of G prove a+N=N+a
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by hcourche View Post
    How do I prove this a+N=N+a where a+N={a+n:n member of N} and
    N+a={n+a:n member of N}
    Let G=(G,+,-,0) be a group.
    Let thata be member congruence(G).
    Let N=[0]thata.

    Then For all a member of G prove a+N=N+a
    What is going on here? I for one can't understand what you're asking.
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