Linear spaces with few lines. Lecture notes in mathematics; Bd. 1490.

Metsch, Klaus

ISBN 10: 3540547207 / ISBN 13: 9783540547204

Published by Berlin, Springer, 1991

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03136 3540547207 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2489035

Bibliographic Details

• Title: Linear spaces with few lines. Lecture notes in mathematics; Bd. 1490.
• Publisher: Berlin, Springer
• Publication Date: 1991
• Language: English
• ISBN 10: 3540547207
• ISBN 13: 9783540547204
• Binding: Softcover
• Condition: Gut
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.