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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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Kazhdan constant for automorphisms of nilpotent groups
by
Keivan Mallahi-Karai
Yale University

Let G=F(k, c) be the free nilpotent group of class c on k generators. Luboztky and Pak have shown that the group of the automorphisms of G which is generated by the set S consisting of Nielsen transformations has the Kazhdan property T. In this talk we propose a method for computing a lower bound for the Kazhdan constants with respect to S.

Date received: March 20, 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-94.