Mendeley出力
＜図書＞
Topics in geometric group theory
| 責任表示 | Pierre de la Harpe |
|---|---|
| シリーズ | Chicago lectures in mathematics |
| データ種別 | 図書 |
| 出版情報 | Chicago, Ill. : University of Chicago Press , c2000 |
| 本文言語 | 英語 |
| 大きさ | vi, 310 p. : ill. ; 24 cm |
| 概要 | In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major ...ole in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields. In this book, Pierre de la Harpe provides a concise and engaging introduction to geometric group theory, a new method for studying infinite groups via their intrinsic geometry that has played a major role in mathematics over the past two decades. A recognized expert in the field, de la Harpe adopts a hands-on approach, illustrating key concepts with numerous concrete examples. The first five chapters present basic combinatorial and geometric group theory in a unique and refreshing way, with an emphasis on finitely generated versus finitely presented groups. In the final three chapters, de la Harpe discusses new material on the growth of groups, including a detailed treatment of the "Grigorchuk group." Most sections are followed by exercises and a list of problems and complements, enhancing the book's value for students; problems range from slightly more difficult exercises to open research problems in the field. An extensive list of references directs readers to more advanced results as well as connections with other fields. 続きを見る |
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1F 開架 | 411.6/L 13/54000154 | 2000 |
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054212000001542 |
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理系図3F 数理独自 | LAHA/20/1 | 2000 |
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023212000005314 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | *La Harpe, Pierre de |
| 件 名 | LCSH:Geometric group theory |
| 分 類 | LCC:QA183 DC21:512/.2 |
| 書誌ID | 1000684513 |
| ISBN | 0226317196 |
| NCID | BA48480419 |
| 巻冊次 | ISBN:0226317196 : pbk. ; ISBN:0226317218 |
| 登録日 | 2009.09.15 |
| 更新日 | 2009.11.02 |