Question: 1. Given the groups R* and Z, let G=R* * Z. Define a binary operation o on G by (a,m) (b, n) = (ab, m

 1. Given the groups R* and Z, let G=R* * Z.

1. Given the groups R* and Z, let G=R* * Z. Define a binary operation o on G by (a,m) (b, n) = (ab, m + n). Show that G is a group under this operation

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