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arXiv · 0710.0026

Irrational Stable Commutator Length in Finitely Presented Groups

Dongping Zhuang
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Abstract

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.

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Dongping Zhuang. 2007-09-29. Irrational Stable Commutator Length in Finitely Presented Groups. https://arxiv.org/abs/0710.0026

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