Author | Metsch, Klaus. author |
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Title | Linear Spaces with Few Lines [electronic resource] / by Klaus Metsch |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1991 |
Connect to | http://dx.doi.org/10.1007/BFb0083245 |
Descript | XIV, 202 p. online resource |
Definition and basic properties of linear spaces -- Lower bounds for the number of lines -- Basic properties and results of (n+1,1)-designs -- Points of degree n -- Linear spaces with few lines -- Embedding (n+1,1)-designs into projective planes -- An optimal bound for embedding linear spaces into projective planes -- The theorem of totten -- Linear spaces with n2+n+1 points -- A hypothetical structure -- Linear spaces with n2+n+2 lines -- Points of degree n and another characterization of the linear spaces L(n,d) -- The non-existence of certain (7,1)-designs and determination of A(5) and A(6) -- A result on graph theory with an application to linear spaces -- Linear spaces in which every long line meets only few lines -- s-fold inflated projective planes -- The Dowling Wilson Conjecture -- Uniqueness of embeddings