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Math Help - Integers modulo n

  1. #1
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    Post Integers modulo n

    prove or disprove that Z_3 and Z_4 is a group with respect to (*)?
    where operation (*) on Z_n is associative and commutative and has [1] as an identity element.
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    Quote Originally Posted by Vedicmaths View Post
    prove or disprove that Z_3 and Z_4 is a group with respect to (*)?
    where operation (*) on Z_n is associative and commutative and has [1] as an identity element.
    Z_3 is a group because everything is invertible. Z_4 is not, because 2 has no inverse.
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