How to Multiply Real Numbers With Multiplication

The set of all real numbers combined with multiplication makes a group. A morphism is a function that I'm gonna do to the thing itself So auto is on itself Oh so like what can I do to real numbers if I think about this whole like real line minus zero It's not in there. I can like stretch it. And now I get another copy of the real numbers again Right, so like Groups have this kind of a property if I take an element in them and apply it to the whole group I get like a copy of the group Sometimes they have an extra You take an element like two from the set the nonzero real numbers and then by applying that The element becomes the transformation