Let $G$ be a group such that for all $a,b,c\in G$ we have $$ab=ca \implies b=c$$
How can I show that $G$ is abelian ?
I am kind of stuck in the question
2026-03-25 07:43:33.1774424613
How to prove that this group is abelian?
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$a(ba) = (ab)a \implies ba = ab;\forall a,b \in G$.