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The Symmetries of the $\pi$-metric

Information Theory 2009-01-09 v1 Discrete Mathematics Combinatorics math.IT Metric Geometry

Abstract

Let V be an n-dimensional vector space over a finite field F_q. We consider on V the π\pi-metric recently introduced by K. Feng, L. Xu and F. J. Hickernell. In this short note we give a complete description of the group of symmetries of V under the π\pi-metric.

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Cite

@article{arxiv.0901.1043,
  title  = {The Symmetries of the $\pi$-metric},
  author = {Marcelo Muniz S. Alves and Luciano Panek},
  journal= {arXiv preprint arXiv:0901.1043},
  year   = {2009}
}