Irrational Stable Commutator Length in Finitely Presented Groups

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We give examples of finitely presented groups containing elements with irrational (in fact, transcendental) stable commutator length, thus answering in the negative a question of M. Gromov. Our examples come from 1-dimensional dynamics, and are related to the generalized Thompson groups studied by M. Stein, I. Liousse and others.
8 pages, 1 figure

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Geometric Topology, Dynamical Systems, 20F12, 37E45 (Primary); 37E10, 57M60, 20F65 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/139009

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.0026
 http://arxiv.org/abs/0710.0026

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arXiv