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G^3 = Geometric Group Theory on the Gulf Coast
January 9-12, 2007

New Orleans, LA, USA

Organizers
Stephen Brick, Craig Jensen, Igor Mineyev.

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Groups generated by 3-state automata over 2-letter alphabet
by
Dmytro Savchuk
Texas A&M University
Coauthors: Ievgen Bondarenko, Rostislav Grigorchuk, Rostyslav Kravchenko, Yevgen Muntyan, Volodymyr Nekrashevych and Zoran Sunic

We will discuss an approach to the classification of groups generated by 3-state automata over 2-letter alphabet and the progress done in this direction. Several theorems related to the whole class will be formulated. We'll also consider several examples of a particular interest.

Date received: December 5, 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 # catr-04.