Linear Spaces with Few Lines
A famous theorem in the theory of linear spaces states that every finite linear space has at least as many lines as points. This result of De Bruijn and Erd/s led to the conjecture that every linear space with "few lines" canbe obtained from a projective plane by changing only a small part...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1490 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear spaces with few lines, Klaus Metsch, Berlin, New York, Springer-Verlag, 1991, 1 vol. (XI-195 p.), Lecture notes in mathematics, 3-540-54720-7 • Linear Spaces with Few Lines, Texte imprimé, 9783662178997 |
Indholdsfortegnelse:
- 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.