Stable groups
著者
書誌事項
Stable groups
（Mathematical surveys and monographs, v. 87）
American Mathematical Society, c2001
- タイトル別名
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Groupes stables
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注記
Includes bibliographical references (p. 123-124) and index
内容説明・目次
内容説明
This is the English translation of the book originally published in 1987. It is a faithful reproduction of the original, supplemented by a new Foreword and brought up to date by a short postscript. The book gives an introduction by a specialist in contemporary mathematical logic to the model-theoretic study of groups, i.e., into what can be said about groups, and for that matter; about all the traditional algebraic objects.The author introduces the groups of finite Morley rank (those satisfying the most restrictive assumptions from the point of view of logic), and highlights their resemblance to algebraic groups, of which they are the prototypes. (All the necessary prerequisites from algebraic geometry are included in the book.) Then, whenever possible, generalizations of properties of groups of finite Morley type to broader classes of superstables and stable groups are described. The exposition in the first four chapters can be understood by mathematicians who have some knowledge of logic (model theory). The last three chapters are intended for specialists in mathematical logic.
目次
A couple of words about groups Introduction Chain Structure Fields Geometry Generics Rank Weight Bibliography Index Postscript: Thirteen years later.
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