A subgroup of the full poset-isometry group

Abstract

Let P be a poset on [n]. We construct a subgroup Gp of the full poset-isometry group Isop(Fqn) and present the structure of Gp as well as its size. We also find poset-metric spaces satisfying Gp = Isop(Fqn) by using a characterization of Gp. © 2010 Society for Industrial and Applied Mathematics.