arXiv:math/0601231 Abstract

Published 2006-01-10, updated 2006-03-10Version 2

We prove that three automorphisms of the rooted binary tree defined by a certain 3-state automaton generate a free non-Abelian group of rank 3.

Comments: 19 pages, 4 figures

Categories: math.GR

Subjects: 20E05, 20E08

Keywords: free group, transformations, free non-abelian group, automaton generate, rooted binary tree

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