<図書>
Linear spaces with few lines
| 責任表示 | Klaus Metsch |
|---|---|
| シリーズ | Lecture notes in mathematics ; 1490 |
| データ種別 | 図書 |
| 出版情報 | Berlin : Tokyo : Springer-Verlag , c1991 |
| 本文言語 | 英語 |
| 大きさ | xi, 195 p. : ill. ; 25 cm |
| 概要 | 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 spa...e 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. 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. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7018524 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNM/1490 | 1991 |
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068222192001846 |
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理系図 自動書庫 | 410.8/L 493/(1490) | 1991 |
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068582191014504 |
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: gw | 数理 雑誌室 | SER/LNM/K1490 | 1991 |
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068252195009993 | 410.8 |
書誌詳細
| 一般注記 | Includes bibliographical references (p. [192]-195) and index |
|---|---|
| 著者標目 | *Metsch, Klaus, 1961- |
| 件 名 | LCSH:Finite geometries LCSH:Vector spaces |
| 分 類 | LCC:QA3 LCC:QA167.2 DC20:510 s DC20:516/.13 NDC8:410.8 |
| 書誌ID | 1000031002 |
| ISBN | 3540547207 |
| NCID | BA13255992 |
| 巻冊次 | : gw ; ISBN:3540547207 ; PRICE:DM39.00 : us ; ISBN:0387547207 ; PRICE:$24.00 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |
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