Groups of linear isometries on poset structures

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.