Irrational Stable Commutator Length in Finitely Presented Groups

Details Irrational Stable Commutator Length in Finitely Presented Groups Irrational Stable Commutator Length in Finitely Presented Groups

2007-09-29

arxiv.org/abs/0710.0026v1

Mathematics

Geometric Topology

8 pages, 1 figure

Scientific paper

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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