Asymptotic, Algorithmic and Geometric Aspects of Groups Generated by Automata

Asymptotic, Algorithmic and Geometric Aspects of Groups Generated by Automata

This dissertation is devoted to various aspects of groups generated by automata. We study particular classes and examples of such groups from different points of view. It consists of four main parts. In the first part we study Sushchansky p-groups introduced in 1979 by Sushchansky in "Periodic...

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Bibliographic Details
Main Author: Savchuk, Dmytro M.
Other Authors: Grigorchuk, Rostislav R.
Format: Others
Language:en_US
Published: 2010
Subjects:
automata groups
Burnside groups
intermediate growth
dual automata
random walks
iterated monodromy groups
Online Access:http://hdl.handle.net/1969.1/ETD-TAMU-2009-08-2934
http://hdl.handle.net/1969.1/ETD-TAMU-2009-08-2934

Internet

http://hdl.handle.net/1969.1/ETD-TAMU-2009-08-2934
http://hdl.handle.net/1969.1/ETD-TAMU-2009-08-2934

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