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Math Help - Fields

  1. #1
    Junior Member
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    Johannesburg, South Africa
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    Fields

    Let K be a field with q=p^n elements
    I want to show that every element k \in K is a solution of x^q-x=0
    Any hints?
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  2. #2
    Member
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    Apr 2010
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    K*=K-{0} is a group (under multiplication) of order q-1. Remember Lagrange's theorem?
    And what about 0?
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