- Title
- Non-contracting groups generated by (3,2)-automata
- Creator
- Davis, Nick; Elder, Murray; Reeves, Lawrence
- Relation
- Algebra and Discrete Mathematics Vol. 17, Issue 1, p. 20-32
- Relation
- http://adm.luguniv.edu.ua
- Publisher
- Institute for Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Lugansk Taras Shevchenko National University
- Resource Type
- journal article
- Date
- 2014
- Description
- 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.
- Subject
- automaton group; self-similar group; contracting action; self-similarity graph
- Identifier
- http://hdl.handle.net/1959.13/1047455
- Identifier
- uon:14794
- Identifier
- ISSN:1726-3255
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version | 130 KB | Adobe Acrobat PDF | View Details Download | ||
| View Details Download | ATTACHMENT02 | Publisher version (open access) | 130 KB | Adobe Acrobat PDF | View Details Download |