Irrational stable commutator length in finitely presented groups
Dongping Zhuang
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.
keywords: Stable commutator length generalized Thompson groups.

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