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Linear Spaces with Few Lines
Lecture Notes in Mathematics 1490
ISBN/EAN: 9783540547204
Umbreit-Nr.: 5023722
Sprache:
Englisch
Umfang: xiv, 202 S.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 23.10.1991
Auflage: 1/1991
- Zusatztext
- 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 of itsstructure. Many results related to this conjecture have been proved in the last twenty years. This monograph surveys the subject and presents several new results, such as the recent proof of the Dowling-Wilsonconjecture. Typical methods used in combinatorics are developed so that the text can be understood without too much background. Thus the book will be of interest to anybody doing combinatorics and can also help other readers to learn the techniques used in this particular field.