Groups with unique product structures

Patterns for Unique Product Identification

The increasing competition in global markets forces companies to optimise their manufacturing and logistic processes. Tied supply chains, just in time production are means to reduce costs while shortening the needed “time to market”. Customers are attracted not only by the product prize, but properties like quality and safety. In case of higher prized goods the ability to offer individualised p...

Image Processing with Wreath Product Groups

A tensor product approach to the abstract partial fourier transforms over semi-direct product groups

In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.

Linear Groups of Isometries with Poset Structures

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 . We show that a linear isometry induces an automorphism of order in poset P , and consequently we show the existence of a pair of...

Measurement Structures with Archimedean Ordered Translation Groups

The paper focuses on three problems of generalizing properties of concatenation structures (ordered structures with a monotonic operation) to ordered structures lacking any operation. (1) What is the natural generalization of the idea of Archimedeaness, of commensurability between large and small? (2) What is the natural generalization of the concept of a unit concatenation structure in which t...