Let $G = A *_C B$ be an amalgamated free product of groups.
My question is: suppose $C$ and $G$ are finitely generated, can we prove that so is $A$?
I've been trying to prove it by contradiction. Any suggestion?
Thanks...
Let $G = A *_C B$ be an amalgamated free product of groups.
My question is: suppose $C$ and $G$ are finitely generated, can we prove that so is $A$?
I've been trying to prove it by contradiction. Any suggestion?
Thanks...