(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

true or false:

If G is a group and g is in G. Then (left) multiplication by g is an isomorphism from G to G

2. Relevant equations

3. The attempt at a solution

I am pretty sure it is true since ax=b always has a solution if a and b are in group. But can someone just confirm this?

EDIT: sorry, I don't mean isomorphism, I mean bijection

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# Homework Help: Group theory question

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