Finite Group Alegebras and Their Modules
暫譯: 有限群代數及其模

Landrock, P., Hitchin, N. J.

  • 出版商: Cambridge
  • 出版日期: 1983-12-29
  • 售價: $2,110
  • 貴賓價: 9.5$2,005
  • 語言: 英文
  • 頁數: 286
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0521274877
  • ISBN-13: 9780521274876
  • 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

Originally published in 1983, the principal object of this book is to discuss in detail the structure of finite group rings over fields of characteristic, p, P-adic rings and, in some cases, just principal ideal domains, as well as modules of such group rings. The approach does not emphasize any particular point of view, but aims to present a smooth proof in each case to provide the reader with maximum insight. However, the trace map and all its properties have been used extensively. This generalizes a number of classical results at no extra cost and also has the advantage that no assumption on the field is required. Finally, it should be mentioned that much attention is paid to the methods of homological algebra and cohomology of groups as well as connections between characteristic 0 and characteristic p.

商品描述(中文翻譯)

本書最初於1983年出版,主要目的是詳細討論有限群環在特徵為 p 的域、P-進環,以及在某些情況下僅限於主理想域上的結構,以及這些群環的模。這種方法並不強調任何特定的觀點,而是旨在在每種情況下提供流暢的證明,以便為讀者提供最大的洞察力。然而,跡映射及其所有性質已被廣泛使用。這一點在不增加額外成本的情況下推廣了許多經典結果,並且還有一個優勢,即對於域不需要任何假設。最後,值得一提的是,本書對同調代數的方法和群的上同調,以及特徵 0 和特徵 p 之間的聯繫給予了相當多的關注。

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