Special sets of lines in PG(3,2)
type: Item
instance of: scholarly article
title: Special sets of lines in PG(3,2)
zbMATH Open document ID: 0839.51008
DOI: 10.1016/0024-3795(95)00200-B
author: R. H. Jeurissen
published in: Linear Algebra and its Applications
publication date: 1996-06-19T00:00:00Z
review text: The author investigates the sets of lines in PG(3,2) having the property that every point is incident with the same number \(n\) of lines of the set and determines the orbits of these sets under PSL(4,2). In particular, numerous theorems are given about -- two disjoint spreads, -- three disjoint spreads, -- sets of \(5n\) lines, \(n\) through every point \((n = 2,3\) above all), connected with Petersen systems, -- parallelisms of spreads. The case \(n = 3\) already has been studied by \textit{F. C. Bussemarker} and \textit{J. J. Seidel} [report TU Eindhoven (1970; Zbl 0324.05015) or Ann. New York Acad. Sci. 175, 66-79 (1970; Zbl 0239.05010)]. They use a combinatorial approach. The investigations in this paper have more geometric flavor, and by case \(n = 3\) are given all possibilities.
reviewed by: Erhard Quaisser
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 803764
zbMATH Keywords: sets of lines in PG(3,2)
zbMATH Keywords: spreads
zbMATH Keywords: parallelisms
MaRDI profile type: Publication
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cites work: On Identifying PG(3,2) and the Complete 3-Design on Seven Points
cites work: On collineation groups of projective spaces. I
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description: scientific article; zbMATH DE number 803764