Linear spaces with few lines
By: Klaus Metsch.
Series: Lecture notes in mathematics ;; 1490; Lecture notes in mathematics (Springer-Verlag) ;; 1490.
Publisher: New York; Springer-Verlag
Published: 1991
Place of publication: Berlin
Language: eng
Number of pages: 195
Subjects: Finite geometries.; Vector spaces.
Description: 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.
Notes: Includes bibliographical references (p. [192]-195) and index.