<電子ブック>
Algebraic Patching / by Moshe Jarden
(Springer Monographs in Mathematics. ISSN:21969922)
版 | 1st ed. 2011. |
---|---|
出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 2011 |
本文言語 | 英語 |
大きさ | XXIV, 292 p : online resource |
著者標目 | *Jarden, Moshe author SpringerLink (Online service) |
件 名 | LCSH:Algebra LCSH:Algebraic fields LCSH:Polynomials LCSH:Group theory FREE:Algebra FREE:Field Theory and Polynomials FREE:Group Theory and Generalizations |
一般注記 | 1. Algebraic Patching -- 2. Normed Rings -- 3. Several Variables -- 4. Constant Split Embedding Problems over Complete Fields -- 5. Ample Fields -- 6. Non-Ample Fields -- 7. Split Embedding Problems over Complete Fields -- 8. Split Embedding Problems over Ample Fields -- 9. The Absolute Galois Group of C(t) -- 10. Semi-Free Profinite Groups -- 11. Function Fields of One Variable over PAC Fields -- 12. Complete Noetherian Domains -- Open Problems -- References -- Glossary of Notation -- Index Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Among others, it leads to the solution of two central results in "Field Arithmetic": (a) The absolute Galois group of a countable Hilbertian pac field is free on countably many generators; (b) The absolute Galois group of a function field of one variable over an algebraically closed field $C$ is free of rank equal to the cardinality of $C$ HTTP:URL=https://doi.org/10.1007/978-3-642-15128-6 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783642151286 |
|
電子リソース |
|
EB00234504 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降