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Product Details 基本信息 ISBN-13 书号 9780821803905 Author 作者 Daniel Gorenstein Format 版本 精装 Pages Number 页数 218页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 1995-10-31 Language 语种 英语 Book Contents 内容简介 The Classification Theorem is one of the main achievements of 20th century mathematics, but its proof has not yet been completely extricated from the journal literature in which it first appeared. This is the second volume in a series devoted to the presentation of a reorganized and simplified proof of the classification of the finite simple groups. The authors present (with either proof or reference to a proof) those theorems of abstract finite group theory, which are fundamental to the analysis in later volumes in the series. This volume provides a relatively concise and readable access to the key ideas and theorems underlying the study of fin
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Product Details 基本信息 ISBN-13 书号 9780821840696 Author 作者 Daniel Gorenstein Format 版本 精装 Pages Number 页数 344页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2018-02-15 Language 语种 英语 Book Contents 内容简介 The classification of finite simple groups is a landmark result of modern mathematics. The multipart series of monographs which is being published by the AMS (Volume 40.1-40.7 and future volumes) represents the culmination of a century-long project involving the efforts of scores of mathematicians published in hundreds of journal articles, books, and doctoral theses, totaling an estimated 15,000 pages. This part 7 of the series is the middle of a trilogy (Volume 40.5, Volume 40.7, and forthcoming Volume 40.8) treating the Generic Case, i.e., the identification of the alternating groups of degree at least 13 and most of the finite simple groups of Lie type
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Product Details 基本信息 ISBN-13 书号 9781470441890 Author 作者 Daniel Gorenstein Format 版本 精装 Pages Number 页数 488页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2018-12-12 Language 语种 英语 Book Contents 内容简介 This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series--the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups. Put another way, Theorem O asserts that any minimal counterex
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Product Details 基本信息 ISBN-13 书号 9780821827765 Author 作者 Daniel Gorenstein Format 版本 精装 Pages Number 页数 467页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2002-09-10 Language 语种 英语 Book Contents 内容简介 The classification of finite simple groups is a landmark result of modern mathematics. The original proof is spread over scores of articles by dozens of researchers. In this multivolume book, the authors are assembling the proof with explanations and references. It is a monumental task. The book, along with background from sections of the previous volumes, presents critical aspects of the classification. In four prior volumes (Surveys of Mathematical Monographs, Volumes 40.1, 40.2, 40.3, and 40.4), the authors began the proof of the classification theorem by establishing certain uniqueness and preuniqueness results. In this volume, they now begin
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Product Details 基本信息 ISBN-13 书号 9783540627791 Author 作者 Hilbert Format 版本 精装 Pages Number 页数 351页 Publisher 出版社 Springer Berlin Heidelberg Publication Date 出版日期 1998-08-20 Language 语种 英语 Book Contents 内容简介 Constance Reid, in Chapter VII of her book Hilbert, tells the story of the writing of the Zahlbericht, as his report entitled Die Theorie der algebra is? chen Zahlkorper has always been known. At its annual meeting in 1893 the Deutsche Mathematiker-Vereinigung (the German Mathematical Society) invited Hilbert and Minkowski to prepare a report on the current state of affairs in the theory of numbers, to be completed in two years. The two mathematicians agreed that Minkowski should write about rational number theory and Hilbert about algebraic number theory. Although Hilbert had almost completed his share of the report by the beginning of 1896 Minkowski had made much less pro
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Product Details 基本信息 ISBN-13 书号 9780821834572 Author 作者 B. N. Delone Format 版本 精装 Pages Number 页数 278页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2005-08-30 Language 语种 其它(含多语) Book Contents 内容简介 For over two centuries, the work of the St. Petersburg mathematicians in number theory has constituted a glorious contribution to mathematics. The Russian book, The St. Petersburg School of Number Theory, is about the life and work of prominent members of this school, such as Chebyshev, Korkin, Zolotarev, Markov, Vorono , and Vinogradov. These mathematicians are indeed a very distinguished group. Their work in number theory is of the highest quality and continues to have lasting significance. This English translation acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short bi
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Product Details 基本信息 ISBN-13 书号 9781470464370 Author 作者 Inna Capdeboscq |Daniel Gorenstein |Richard Lyons |Ronald So Format 版本 平装-胶订 Pages Number 页数 520页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2021-04-30 Product Dimensions 商品尺寸 17.15 x 3.18 x 24.77 cm ( Language 语种 其它(含多语) Book Contents 内容简介 This book is the ninth volume in a series whose goal is to furnish a careful and largely self-contained proof of the classification theorem for the finite simple groups. Having completed the classification of the simple groups of odd type as well as the classification of the simple groups of generic even type (modulo uniqueness theorems to appear later), the current volume begins the classification of the finite simple groups of special even type. The principal result of this volume is a classification of the groups of bicharact
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