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G^3, Special Session in Geometric Group Theory
January 10-13, 2001
part of the AMS/MAA joint meeting
New Orleans, LA, USA

Organizers
Phil Bowers, Martin Bridson, Stephen Brick, Jon Corson, Igor Mineyev

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Splittings of mapping tori of free group automorphisms
by
Peter Brinkmann
University of Illinois at Urbana-Champaign

I will present necessary and sufficient conditions for the existence of a splitting of a mapping torus G of a free group automorphism (i.e., a semidirect product of a free group F with the infinite cyclic group Z) over Z. Applications include (rather unexpected) examples of such splittings as well as results about the Gromov boundary of G when G is hyperbolic.

http://www.math.uiuc.edu/~brinkman/

Date received: October 2, 2000

Copyright © 2000 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 # cafm-17.