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arxiv: 1105.4908 · v3 · pith:6DHYB2D4new · submitted 2011-05-24 · 🧮 math.GR

Girth Alternative for Subgroups of PL_o(I)

classification 🧮 math.GR
keywords girthalternativefinitelygeneratedprovesubgroupselementshomeo
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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.

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