Groups of linear isometries on poset structures

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Abstract

Let V be an n-dimensional vector space over a finite field Fq and P = { 1, 2, ..., n } a poset. We consider on V the poset-metric dP. In this paper, we give a complete description of groups of linear isometries of the metric space (V, dP), for any poset-metric dP. © 2007 Elsevier B.V. All rights reserved.

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Panek, L., Firer, M., Kim, H. K., & Hyun, J. Y. (2008). Groups of linear isometries on poset structures. Discrete Mathematics, 308(18), 4116–4123. https://doi.org/10.1016/j.disc.2007.08.001

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