Geodesic
Non-contracting groups generated by (3,2)-automata
Algebra and discrete mathematics, Tome 17 (2014) no. 1, pp. 20-32

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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.
Keywords: self-similar group, contracting action, self-similarity graph.
Mots-clés : automaton group 
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Nick Davis; Murray Elder; Lawrence Reeves. Non-contracting  groups generated by (3,2)-automata. Algebra and discrete mathematics, Tome 17 (2014) no. 1, pp. 20-32. http://geodesic.mathdoc.fr/item/ADM_2014_17_1_a2/