Irrational Stable Commutator Length in Finitely Presented Groups
Geometric Topology
2007-10-02 v1 Dynamical Systems
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.
Cite
@article{arxiv.0710.0026,
title = {Irrational Stable Commutator Length in Finitely Presented Groups},
author = {Dongping Zhuang},
journal= {arXiv preprint arXiv:0710.0026},
year = {2007}
}
Comments
8 pages, 1 figure