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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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- PublisherSpringer
- Publication date1991
- ISBN 10 3540547207
- ISBN 13 9783540547204
- BindingPerfect Paperback
- Number of pages216
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Linear Spaces with Few Lines (Lecture Notes in Mathematics, 1490)
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Linear Spaces with Few Lines
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Book Description 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
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540547204
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