12.9 (1992)

Following Bass, call a group tree-free if there is an ordered Abelian group $\Lambda$ and a $\Lambda$-tree $X$ such that $G$ acts freely without inversion on $X$.
$\qquad$ a) Must every finitely generated tree-free group satisfy the maximal condition for Abelian subgroups?
$\qquad$ b) The same question for finitely presented tree-free groups.