Irrational Stable Commutator Length in Finitely Presented Groups

Simple item page
dc.creatorZhuang, Dongping
dc.date2007-09-29
dc.date.accessioned2026-07-07T08:33:06Z
dc.date.available2026-07-07T08:33:06Z
dc.descriptionWe 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.
dc.description8 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0710.0026
dc.identifierhttp://arxiv.org/abs/0710.0026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139009
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject20F12, 37E45 (Primary); 37E10, 57M60, 20F65 (Secondary)
dc.titleIrrational Stable Commutator Length in Finitely Presented Groups
dc.typetext

Files

Collections

arXiv