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The Symmetries of the $π$-metric (0901.1043v1)
Published 8 Jan 2009 in cs.IT, cs.DM, math.CO, math.IT, and math.MG
Abstract: Let V be an n-dimensional vector space over a finite field F_q. We consider on V the $\pi$-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 $\pi$-metric.