Finite semifields and nonsingular tensors
type: Item
instance of: scholarly article
title: Finite semifields and nonsingular tensors
zbMATH Open document ID: 1304.12004
author: Michel Lavrauw
published in: Designs, Codes and Cryptography
publication date: 2013-05-30T00:00:00Z
full work available at URL: https://biblio.ugent.be/publication/2152931
review text: The study of finite semifields took up after the classification of finite fields at the end of the nineteenth century. In this paper an overview of the classical results in the theory of finite semifields is given with a particular accent on classification results. The second part of the paper is devoted to the geometric approach to finite semifields. Semifield spreads are investigated following the theory developed by André, Bruck and Bose. The third part of the paper is devoted to a tensor product approach to finite semifields. The correspondence between semifields and non singular tensors is elaborated. Finally connections between non singular tensor associated to a semifield and Segre varieties are explained. A rich and useful bibliography completes the paper. References for an exhaustive state of the art are given.
reviewed by: Gloria Rinaldi
Mathematics Subject Classification ID: 12K10
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 05E18
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 51E15
zbMATH DE Number: 6168435
zbMATH Keywords: finite semifields
zbMATH Keywords: projective planes
zbMATH Keywords: Segre varieties
zbMATH Keywords: tensor products
MaRDI profile type: Publication
OpenAlex ID: W2069915580
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Finite semifields and nonsingular tensors (DOI)
DOI: 10.1007/S10623-012-9710-6