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Non-contracting groups generated by (3,2)-automata
Репозиторій DSpace/Manakin
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Non-contracting groups generated by (3,2)-automata
Інший ID:
2010 MSC:20E08, 20F65, 68Q45.
Посилання:
Non-contracting groups generated by (3,2)-automata / N. Davis, M. Elder, L. Reeves // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 20–32. — Бібліогр.: 4 назв. — англ.
Підтримка:
The first author was supported by an Australian Postgraduate Award. The second and third authors are supported by Australian Research Council grants FT110100178, DP120100996 and DP1096912.
Дата:
2014
Переглядів:
552
Завантажень:
181
Анотація:
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.
