Recent content by peelgie

  1. peelgie

    Prove that this Function is a Homomorphism

    mod 31
  2. peelgie

    Prove that this Function is a Homomorphism

    (1) I need to prove this equation: $$ \varphi(x\cdot_{31}y) = \varphi(x)\cdot_{31}\varphi(y) $$ So: $$ \varphi(x\cdot_{31}y) = (x\cdot_{31}y)^{18} = x^{18}\cdot_{31}y^{18} = \varphi(x)\cdot_{31}\varphi(y) $$ That is Correct? Function is homomorphism?
  3. peelgie

    Prove that this Function is a Homomorphism

    $$(Z_{31}^{*} = \{1, 2, 3, ...,30\},\cdot_{31}) $$
  4. peelgie

    Prove that this Function is a Homomorphism

    Summary:: Abstract algebra I have a problem with this task. Please help. [Moderator's note: Moved from a technical forum and thus no template.]