Flag-transitive 2-designs arising from line-spreads in PG\((2n-1,2)\)
type: Item
instance of: scholarly article
title: Flag-transitive 2-designs arising from line-spreads in PG\((2n-1,2)\)
zbMATH Open document ID: 0931.05009
DOI: 10.1023/A:1005134913218
author: Akihiro Munemasa
published in: Geometriae Dedicata
publication date: 1999-12-12T00:00:00Z
review text: The number of lines in \(\text{PG}(2n-1,2)\) whose orbit under the subgroup of index \(3\) in the Singer group is a spread is given by \((2^{2n}-1)(2^n+(-1)^{n+1})^2/27\). Such lines give rise (by a developement) to a flag-transitive \(2\)-\((2^{2n},4,1)\) design \(D\). Cases in which \(D\) is a \(\text{AG}(n,4)\) are determined.
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 51A05
Mathematics Subject Classification ID: 51E23
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 1347337
zbMATH Keywords: Singer cycle
zbMATH Keywords: projective space
zbMATH Keywords: line-spread in projective spaces
zbMATH Keywords: orbits
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
full work available at URL: a:1005134913218
OpenAlex ID: W9496785
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description: scientific article; zbMATH DE number 1347337