3-Transposition Groups
暫譯: 3-置換群

Aschbacher, Michael

  • 出版商: Cambridge
  • 出版日期: 2009-02-05
  • 售價: $2,160
  • 貴賓價: 9.5$2,052
  • 語言: 英文
  • 頁數: 272
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0521101026
  • ISBN-13: 9780521101028
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

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商品描述

In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and in the process discovered three new sporadic groups, now known as the Fischer groups. Since then, the theory of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place. Fischer's result, while important and deep (covering a number of complex examples), can be understood by any student with some knowledge of elementary group theory and finite geometry. Part I of this book has minimal prerequisites and could be used as a text for an intermediate level graduate course; parts II and III are aimed at specialists in finite groups.

商品描述(中文翻譯)

在1970年,Bernd Fischer 證明了他美麗的定理,對由 3-置換生成的幾乎簡單群進行分類,並在此過程中發現了三個新的偶然群,現在被稱為 Fischer 群。自那時以來,3-置換群的理論已成為有限簡單群理論的重要部分,但 Fischer 的工作仍未發表。《3-置換群》包含了 Fischer 定理的第一個已發表證明,完整地寫在一個地方。Fischer 的結果雖然重要且深奧(涵蓋了多個複雜的例子),但任何具備一些基本群論和有限幾何知識的學生都能理解。本書的第一部分對先備知識要求最低,可以用作中級研究生課程的教材;第二部分和第三部分則針對有限群的專家。