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G^3 = Geometric Group Theory on the Gulf Coast
March 16-19, 2006

Mobile, AL, USA

Organizers
Stephen Brick, Craig Jensen, Igor Mineyev.

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Linear cellular automata and groups
by
Michel Coornaert
University of Strasbourg, France
Coauthors: Tullio Ceccherini-Silberstein

Let V be a finite-dimensional vector space over a field K and let G be a group. Let t: VG → VG be a K-linear cellular automaton. When G is a sofic group, we prove that t is surjective if it is injective. When G is amenable, we prove that t is surjective if and only if it is pre-injective.

Date received: February 14, 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 # caso-09.