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G^3 = Geometric Group Theory on the Gulf Coast
March 15-17, 2002
The University of New Orleans and the University of South Alabama
New Orleans, LA, USA

Organizers
Stephen Brick, Craig Jensen, Igor Mineyev

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A quadratic isoperimetric inequality for free-by-cyclic groups
by
Daniel Groves
University of Oxford
Coauthors: Martin Bridson (Imperial College, London)

Free-by-cyclic groups (aka mapping tori of free group automorphisms) offer a rich class of groups. They have ashperical presentations, are coherent and asynchrounously automatic, yet are not all CAT(0) or automatic.

We prove that all finitely generated free-by-cyclic groups have a quadratic isoperimetric inequality. This is similar to surface-by-cyclic groups, but in contrast to abelian-by-cyclic groups, two analagous classes of groups.

Paper reference: arXiv:math.GR/0211459

Date received: March 7, 2002

Copyright © 2002 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 # caja-10.