Group theoretic applications of duality considerations in the geometry of diagrams
by
Tim Riley
Yale
Coauthors: Steve Gersten

I will explain how duality considerations in the study of singular combinatorial 2-disc (diagrams) lead to innovations concerning the geometry of the word problem for finite presentations of groups. In particular, I will use the techniques to control how isoperimetry changes when one takes a central extension. Also I will give geometric inequalities that constrain the space complexity measure of the word problem called filling length.

Date received: February 28, 2003

Copyright © 2003 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 # cakw-09.