Group Norm Metric

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A Group Norm Metric is a distance metric on a group ([math]G, +, 0[/math]), defined by [math]\mid\mid x + (-y)\mid\mid= \mid\mid x - y \mid\mid[/math], where [math]\mid\mid . \mid\mid[/math] is a group norm on G, i.e., a function [math]\mid\mid . \mid\mid: G \rightarrow \mathbb{R}[/math] such that, for all [math]x, y \in G[/math] we have the following properties ...



References

2006