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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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Metric and growth properties of R.Thompson's group F
by
Victor Guba
Vologda State University

We will give a review of results that concern metric and growth properties of R.Thompson's group F and its generalizations. We are going to discuss algorithms to find the length of a given element, to review recent progress in finding the growth functions of the groups and their positive monoids. Also we want to talk about the Hilbert space compression of F and mention some recent results that concern the amenability question, which remains open.

Date received: February 12, 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-30.