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Linear spaces with few lines

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...

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Detalles Bibliográficos
Autor principal: Metsch, Klaus
Lenguaje:eng
Publicado: Springer 1991
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0083245
http://cds.cern.ch/record/1691463
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author Metsch, Klaus
author_facet Metsch, Klaus
author_sort Metsch, Klaus
collection CERN
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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spelling cern-16914632021-04-21T21:09:44Zdoi:10.1007/BFb0083245http://cds.cern.ch/record/1691463engMetsch, KlausLinear spaces with few linesMathematical Physics and MathematicsA 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.Springeroai:cds.cern.ch:16914631991
spellingShingle Mathematical Physics and Mathematics
Metsch, Klaus
Linear spaces with few lines
title Linear spaces with few lines
title_full Linear spaces with few lines
title_fullStr Linear spaces with few lines
title_full_unstemmed Linear spaces with few lines
title_short Linear spaces with few lines
title_sort linear spaces with few lines
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0083245
http://cds.cern.ch/record/1691463
work_keys_str_mv AT metschklaus linearspaceswithfewlines