Growth in product replacement graphs of Grigorchuk groups
| Autor: | Anton Malyshev, Igor Pak |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Journal of Group Theory. 18:209-234 |
| ISSN: | 1435-4446 1433-5883 |
| DOI: | 10.1515/jgth-2014-0042 |
| Popis: | The product replacement graph Γ k (G) is the graph on the generating k-tuples of a group G, with edges corresponding to Nielsen moves. We prove the exponential growth of product replacement graphs Γ k (𝔾ω) of Grigorchuk groups, for k ≥ 5. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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