Irrational Stable Commutator Length in Finitely Presented Groups
classification
🧮 math.GT
math.DS
keywords
groupscommutatorexamplesfinitelyirrationallengthpresentedstable
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.