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New Zealand Mathematics Colloquium 2001
December 3-6, 2001
Massey University
Palmerston North, New Zealand

Organizers
Dr I. Boglaev, Dr M. Carter, Dr J. Hudson, Dr C. Little (convenor), Ass. Prof R. McLachlan, Ass. Prof C. Lai

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A new criterion of amenability for discrete groups.
by
Todd Rangiwhetu
Victoria University of Wellington

A group is amenable if it admits no decomposition into n pieces in such a way that translates of m < n of them cover the entire group. This concept has its origins in the famous Banach-Tarski paradox. Presently the concept of amenability is of great importance, and numerous equivalent definition are known. In this talk we will propose a new definition, based on the geometry of the unit sphere in the spaces lp and the phenomenon of concentration of measure. No background will be assumed.

http://www.mcs.vuw.ac.nz/~toddr

Date received: October 10, 2001

Copyright © 2001 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 # cahf-24.