Article Contents
Article Contents

# Irrational stable commutator length in finitely presented groups

• 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.
Mathematics Subject Classification: Primary: 20F12, 37E45; Secondary: 37E10.

 Citation: