Lateinische Quadrate, ihre Geometrien und ihre Gruppen. (Latin squares, their geometries and groups.)
type: Item
instance of: scholarly article
title: Lateinische Quadrate, ihre Geometrien und ihre Gruppen. (Latin squares, their geometries and groups.)
zbMATH Open document ID: 0581.05014
author: Dieter Jungnickel
published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
publication date: 1984-01-01T00:00:00Z
review text: This article is a comprehensive presentation of a talk the author gave to the 1983 DMV-Meeting in Cologne. The author is mainly concerned with what finite geometry is and what are its roots. He mentions finite affine and projective structures, block designs, transformation groups, and more recent interaction with the fields of information theory and data processing. He covers Latin squares, quasigroups, orthogonal arrays, existence theorems for Latin squares, construction methods for Latin squares and for block designs, completion, geometric configurations, like loops and nets, translation nets, groups on them. He concludes with an outlook upon open problems. The bibliography contains 132 items and is helpful in getting closer into the fields mentioned.
reviewed by: H.Kröger
Mathematics Subject Classification ID: 05B15
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05-02
zbMATH DE Number: 3929022
zbMATH Keywords: finite geometry
zbMATH Keywords: block designs
zbMATH Keywords: Latin squares
zbMATH Keywords: construction methods
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3929022