Girth Alternative for Subgroups of PL_o(I)

Abstract

We prove the Girth Alternative for finitely generated subgroups of PL_o(I). We also prove that a finitely generated subgroup of Homeo(I) which is sufficiently rich with hyperbolic-like elements has infinite girth.

arXiv commentSeveral typing errors corrected, other slight improvements made. arXiv admin note: text overlap with arXiv:math/0602036 by other authors