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G^3 = Geometric Group Theory on the Gulf Coast Conference
March 20-23, 2008

Pensacola Beach, Florida, USA

Organizers
Josh Barnard, Igor Belegradek, Igor Mineyev.

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Irrational Stable Commutator Length in Finitely Presented Groups
by
Dongping Zhuang
California Institute of Technology
Coauthors: Danny Calegari

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.

Date received: January 23, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawj-07.