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...
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-03-01
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| Series: | Analysis and Geometry in Metric Spaces |
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| Online Access: | https://doi.org/10.1515/agms-2019-0002 |