- #1

karnten07

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## Homework Statement

Let G and H be groups. We define a binary operation on the cartesian product G x H by:

(a,b)*(a',b') := (a*a', b*b') (for a,a' [tex]\in[/tex]G and b,b'[tex]\in[/tex])H

Show that G x H together with this operation is a group.

## Homework Equations

## The Attempt at a Solution

To be a group it must be a monoid (has an identity element) where every element has an inverse element.

I don't understand the binary operation, the commas confuse me. Any help would be most appreciated to complete this final question on this assignment.