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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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Large Tits' boundary diameter implies rank 1
by
Eric Swenson
BYU
Coauthors: Kim Ruane (Tufts)

Ballmann conjectured that every CAT(0) groups with Tits' diameter of more than \pi would be rank 1 (that is the group contains a hyperbolic element which has an axis not contained in any half-flat). We show that if the Tits' diameter is at large enough ( >= 4 \pi) then the group is rank 1.

Date received: September 28, 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-13.