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nexusstc/The Embedding Problem in Galois Theory/ead9333e2773533778bcf4917a96a37c.pdf
The Embedding Problem in Galois Theory 🔍
V. V. Ishkhanov; B. B. Lur′e; D. K. Faddeev American Mathematical Society, Translations of mathematical monographs,, v. 165, Providence, R.I, Rhode Island, 1997
英语 [en] · PDF · 19.5MB · 1997 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
The central problem of modern Galois theory involves the inverse problem: given a field $k$ and a group $G$, construct an extension $L/k$ with Galois group $G$. The embedding problem for fields generalizes the inverse problem and consists in finding the conditions under which one can construct a field $L$ normal over $k$, with group $G$, such that $L$ extends a given normal extension $K/k$ with Galois group $G/A$. Moreover, the requirements applied to the object $L$ to be found are usually weakened: it is not necessary for $L$ to be a field, but $L$ must be a Galois algebra over the field $k$, with group $G$. In this setting the embedding problem is rich in content. But the inverse problem in terms of Galois algebras is poor in content because a Galois algebra providing a solution of the inverse problem always exists and may be easily constructed. The embedding problem is a fruitful approach to the solution of the inverse problem in Galois theory. This book is based on D. K. Faddeev’s lectures on embedding theory at St. Petersburg University and contains the main results on the embedding problem. All stages of development are presented in a methodical and unified manner.
备用文件名
lgli/ZZU_Ishkhanov.pdf
备用文件名
lgrsnf/ZZU_Ishkhanov.pdf
备用文件名
zlib/Mathematics/V. V. Ishkhanov, B. B. Lure, D. K. Faddeev/The Embedding Problem in Galois Theory_2695548.pdf
备选标题
Translations of Mathematical Monographs
备选作者
Ishkhanov, V. V. (vladimir Vaganovich), Lurʹe, B. B. (boris Beniaminovich), Faddeev, D. K. (dmitriĭ Konstantinovich)
备选作者
V.V. Ishkhanov, B.B. Lurʹe, D.K. Faddeev; [translated from the Russian by N.B. Lebedinskaya]
备选作者
Vladimir Vaganovich Ishkhanov
备选作者
Vladimir V Išchanov
备用版本
American Mathematical Society, [N.p.], 2018
备用版本
United States, United States of America
元数据中的注释
0
元数据中的注释
lg1486208
元数据中的注释
{"isbns":["0821845926","9780821845929"],"last_page":182,"publisher":"American Mathematical Society","series":"Translations of Mathematical Monographs"}
元数据中的注释
Includes bibliographical references (p. 175-179) and index.
备用描述
The central problem of modern Galois theory involves the inverse problem: given a field $k$ and a group $G$, construct an extension $L/k$ with Galois group $G$. This book features lectures on embedding theory presented at St Petersburg University and contains the main results on the embedding problem. It presents various stages of development.
开源日期
2016-04-03
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