1977/02/01 by F. A. Sherk, Günther Pabst · 10 citations
Mathematics · #Algebraic Geometry and Number Theory #Class (philosophy) #Combinatorics #Computer science #Discrete mathematics #Field (mathematics) #Finite Group Theory Research #Geometry #Line (geometry) #Mathematics #Point (geometry) #Prime (order theory) #Pure mathematics #Real line #Skew #Space (punctuation) #Telecommunications
paper · pdf · doi:10.4153/cjm-1977-013-6
published in Canadian Journal of Mathematics 29(1), 132-154 (Cambridge University Press)
openalex publication_date 1977/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Let Σ be the projective 3-space over the field GF(q) where q = p e , p an odd prime. A spread W in ∑ is a set of q 2 + 1 lines in ∑ which are such that each point of Σ lies on exactly one line of W. Thus the lines of W are all mutually skew. The notion of a spread extends to higher dimensions and also applies for arbitrary fields [ 1; 3; 6 , p. 29; 7, p. 5]. Our concern, however, will be within the narrower but still extensive bounds indicated.