2007/09/29 by Dongping Zhuang, Zhuang, Dongping
Mathematics · #20F12 #20F65 (Secondary) #37E10 #37E45 (Primary) #57M60 #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #math.DS #math.GT #msc:20F12 #msc:20F65 #msc:37E10 #msc:37E45 #msc:57M60
paper · pdf · doi:10.48550/arxiv.0710.0026
8 pages, 1 figure
arxiv created 2007/09/29 · openalex publication_date 2007/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.