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Combinatorial and Geometric Group Theory
May 5-10, 2006
Vanderbilt University
Nashville, TN, USA

Organizers
Goulnara Arzhantseva, Mike Mihalik, Denis Osin, Mark Sapir, Efim Zelmanov

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Biautomaticity and Nonpositively Curved Piecewise Euclidean Complexes
by
Rena Levitt
UCSB

I will discuss a condition implying that a locally CAT(0) piecewise Euclidean 2-complex has biautomatic fundamental group. This result relies on a theorem relating paths in the 1-skeleton of the universal cover, and includes results by Gersten-Short and Niblo-Reeves (in dimension 2) as corollaries.

Date received: March 3, 2006

Copyright © 2006 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 # caqu-72.