A Course on Group Theory (Paperback)
暫譯: 群論課程 (平裝本)
John S. Rose
- 出版商: Dover Publications
- 出版日期: 2012-06-13
- 售價: $1,500
- 貴賓價: 9.5 折 $1,425
- 語言: 英文
- 頁數: 320
- 裝訂: Paperback
- ISBN: 0486681947
- ISBN-13: 9780486681948
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商品描述
This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications.
Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.
Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.
商品描述(中文翻譯)
這本針對群論高級課程的教科書專注於有限群，強調群作用的概念。前幾章總結了所需的基本知識，確定了重要主題，並建立了全書使用的符號。隨後的章節探討了群的正規結構和算術結構以及應用。
主題包括群的正規結構：子群；同態和商群；系列；直積及有限生成阿貝爾群的結構；以及群對群的作用。其他主題則涵蓋了群的算術結構，以及通過群作用論證的經典轉移和分裂概念。書中提供了超過675道練習題，許多題目附有提示，以說明和擴展所學的內容。
