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The Spring Topology and Dynamics Conference 2009
March 7-9, 2009
University of Florida
Gainesville, FL, USA

Organizers
Lou Block, Phil Boyland (chair), Beverly Brechner, Sasha Dranishnikov, and Jed Keesling.

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Assuad-Nagata dimension of nilpotent groups with arbitrary left invariant metrics
by
Jose Higes
Departamento de Geometría y Topología, Universidad Complutense Madrid

Suppose G is a countable, not necessarily finitely generated, group. We show G admits a proper, left-invariant metric dG such that the Assouad-Nagata dimension of (G, dG) is infinite, provided the center of G is not locally finite. As a corollary we solve two problems of A.Dranishnikov.

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Date received: February 16, 2009

Copyright © 2009 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 # caxy-74.