Geometry of Generated Groups with Metrics Induced by Their Cayley Color Graphs
Let G be a group and let S be a generating set of G. In this article,we introduce a metric dC on G with respect to S, called the cardinal metric.We then compare geometric structures of (G, dC) and (G, dW), where dW denotes the word metric. In particular, we prove that if S is finite, then (G, dC) an...
Gardado en:
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado: |
De Gruyter
2019-03-01
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| Series: | Analysis and Geometry in Metric Spaces |
| Assuntos: | |
| Acceso en liña: | https://doi.org/10.1515/agms-2019-0002 |
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