Groups of linear isometries on poset structures

Abstract

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