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Assume that X$X$ is a tree such that every vertex has infinite degree. And, and a discrete group G$G$ acts on this tree properly (with finite stabilizers) and transitively. 

Is it true that G$G$ contains a non- abelianabelian free subgroup?

Assume that X is a tree such that every vertex has infinite degree. And a discrete group G acts on this tree properly (with finite stabilizers) and transitively. Is it true that G contains a non- abelian free subgroup?

Assume that $X$ is a tree such that every vertex has infinite degree, and a discrete group $G$ acts on this tree properly (with finite stabilizers) and transitively. 

Is it true that $G$ contains a non-abelian free subgroup?

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Groups acting on trees

Assume that X is a tree such that every vertex has infinite degree. And a discrete group G acts on this tree properly (with finite stabilizers) and transitively. Is it true that G contains a non- abelian free subgroup?