Determine which of the following sets G, with the indicated operation is a group. Which is an abelian group? Note: clearly show that the conditions for G under the operation of o to be a group are satisfied and if G has an identity element, state what that element is, if elements of G have an inverse, state what the inverse of an element would look like. (a) Given the sets R* and Z, let G = R*×Z. Define a binary operation o on G by (a,m) o (b, n) = (ab, m+n).

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Q: -) Write the Cayley table for the group U(15).

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Q: nite, or Abelian,

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