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G^3 = Geometric Group Theory on the Gulf Coast
November 8-10, 2002

Pensacola Beach, FL, USA

Organizers
Stephen Brick, Igor Mineyev, Mark Sapir, Guoliang Yu

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On right angled Coxeter groups in hyperbolic spaces
by
L. Potyagailo
University of Lille 1
Coauthors: E. Vinberg (Moscow State University)

It is known that right angled compact polyhedra do not exist in the real hyperbolic space of dimension n > 4. We prove that right angled polyhedra of finite volume do not exist in the hyperbolic space of dimension n > 14. Examples are known until n = 8.

Date received: November 6, 2002

Copyright © 2002 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 # cajt-14.