ENGLISH

Linear Spaces with Few Lines

By Klaus Metsch (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1991
ISBN
3540547207, 9783540547204, 0387547207
DOI
10.1007/BFb0083245
LCC
QA3 .L28 no. 1490,QA167.2 .L28 no. 1490
Open Library ID
OL1556950M
Language
english
Format
DJVU
Filesize
1 MB (1163778 bytes)
Series
Lecture Notes in Mathematics 1490
Edition
1
Pages
202\213
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Combinatorics

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.

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