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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Κύριος συγγραφέας:	Suksumran Teerapong
Μορφή:	Artigo
Γλώσσα:	Inglês
Έκδοση:	De Gruyter 2019-03-01
Σειρά:	Analysis and Geometry in Metric Spaces
Θέματα:	cardinal metric cayley graph color-permuting automorphism color-preserving automorphism isometry of metric space primary 20f65 secondary 05c25, 05c12, 20f38
Διαθέσιμο Online:	https://doi.org/10.1515/agms-2019-0002
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