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Math Help - subgroups

  1. #1
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    subgroups

    how do i prove or disprove if the subset { [1],[2],[4],[8]} of Z ^x (mod 13) under multiplication is a subgroup?

    i know what i have to check

    if it is closed under the operation, if there is an identity and an inverse. but im not sure how to do that.

    sorry. i am new to this topic and am not sure how to begin this prove..

    thanks!
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  2. #2
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    Quote Originally Posted by alexandrabel90 View Post
    how do i prove or disprove if the subset { [1],[2],[4],[8]} of Z ^x (mod 13) under multiplication is a subgroup?

    i know what i have to check

    if it is closed under the operation, if there is an identity and an inverse. but im not sure how to do that.

    sorry. i am new to this topic and am not sure how to begin this prove..

    thanks!

    Сheck whether the powers of elements in the set are in the set...

    Tonio
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  3. #3
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    so i do not need to prove if they are closed under the operation? in such cases, is the operation + or x?
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