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Linear Spaces with Few Lines
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103 b
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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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