Non-contracting groups generated by (3,2)-automata

Publication Type:
Journal Article
Algebra and Discrete Mathematics, 2014, 17 (1), pp. 20 - 32
Issue Date:
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© Journal Algebra and Discrete Mathematics. We add to the classification of groups generated by 3-state automata over a 2-letter alphabet given by Bondarenko et al., by showing that a number of the groups in the classification are non-contracting. We show that the criterion we use to prove a self-similar action is non-contracting also implies that the associated self-similarity graph introduced by Nekrashevych is non-hyperbolic.
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