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.
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Synopsis
This monograph surveys the theory of linear spaces and presents recent research results, such as the proof of the Dowling-Wilson conjecture. Typical methods used in combinatorics are developed so that the text can be understood by those without prior knowledge of the field.
"About this title" may belong to another edition of this title.
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Linear Spaces with Few Lines
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Springer Berlin Heidelberg Okt 1991, 1991
ISBN 10: 3540547207
ISBN 13: 9783540547204
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A famous theorem in the theory of linear spaces states thatevery finite linear space has at least as many lines aspoints. This result of De Bruijn and Erd|s led to theconjecture that every linear space with 'few lines' canbeobtained from a projective plane by changing only a smallpart of itsstructure.Many results related to this conjecture have been proved inthe last twenty years. This monograph surveys the subjectand presents several new results, such as the recent proofof the Dowling-Wilsonconjecture.Typical methods used in combinatorics are developed so thatthe text can be understood without too much background. Thusthe book will be of interest to anybody doing combinatoricsand can also help other readers to learn the techniques usedin this particular field. 216 pp. Englisch. Seller Inventory # 9783540547204
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Linear Spaces with Few Lines. [= Lecture Notes in Mathematics 1490].
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Berlin u a Springer-Verlag, 1991
ISBN 10: 3540547207
ISBN 13: 9783540547204
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Original-kartoniert; Gr. 8°; XI (III) 195 (7) Seiten. Sehr gutes Exemplar. Sprache: Englisch Lecture Notes in Mathematics 1490. 370 gr. Seller Inventory # 51358
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Linear spaces with few lines. Lecture notes in mathematics; Bd. 1490.
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Softcover. 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