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G^3 = Geometric Groups on the Gulf coast
March 4-5, 2000
University of South Alabama
Mobile, AL, USA

Organizers
Phil Bowers, Stephen Brick, Jon Corson, Igor Mineyev

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Aspherical Higman embeddings
by
Mark Sapir
Vanderbilt

This is a joint result with E. Rips. We prove that every finitely generated aspherical group is embeddable into a finitely presented aspherical group. This answers questions by Gromov and Pride. In particular, this result and a result by Gromov imply that there exists a finitely presented aspherical group not embeddable (uniformly) into a Hilbert space.

http://www.math.vanderbilt.edu/~msapir

Date received: February 24, 2000

Copyright © 2000 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 # cadu-09.