POSETS ADMITTING THE LINEARITY OF ISOMETRIES

Title & Authors
POSETS ADMITTING THE LINEARITY OF ISOMETRIES
Hyun, Jong Youn; Kim, Jeongjin; Kim, Sang-Mok;

Abstract
In this paper, we deal with a characterization of the posets with the property that every poset isometry of $\small{\mathbb{F}^n_q}$ fixing the origin is a linear map. We say such a poset to be admitting the linearity of isometries. We show that a poset P admits the linearity of isometries over $\small{\mathbb{F}^n_q}$ if and only if P is a disjoint sum of chains of cardinality 2 or 1 when q
Keywords
P-isometries;P-isometry group;poset metric;
Language
English
Cited by
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