Explicit calculations and asymptotic behaviour of a distance measure between finite Abelian groups
type: Item
instance of: scholarly article
title: Explicit calculations and asymptotic behaviour of a distance measure between finite Abelian groups
zbMATH Open document ID: 0995.20036
DOI: 10.1023/A:1010695216217
published in: Acta Mathematica Hungarica
publication date: 2002-06-25T00:00:00Z
review text: The author investigates properties of a distance function on a set of finite Abelian groups of equal order. This metric was introduced by \textit{R. Wolf} [Acta Math. Hung. 78, No. 1-2, 25-37 (1998; Zbl 0902.11030)]. The version considered in this paper is redefined to limit the number of possible bijections between the groups to so called ``natural'' bijections. This allows the author to provide closed-form formulae for the distance between a cyclic group of an odd order and some other finite Abelian groups. The asymptotic behavior of the distance function is also studied.
reviewed by: Wojciech Czaja
Mathematics Subject Classification ID: 20K01
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 1759080
zbMATH Keywords: finite Abelian groups
zbMATH Keywords: metrics
zbMATH Keywords: distances
zbMATH Keywords: character sums
author: Gottlieb Pirsic
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1759080