| 书目名称 | Inverse Galois Theory |
| 编辑 | Gunter Malle,B. Heinrich Matzat |
| 视频video | |
| 概述 | Explores new developments in the field of Inverse Galois Theory.Presents the most successful known existence theorems and construction methods for Galois extensions.Introduces solutions of embedding p |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | This second edition addresses the question of which finite groups occur as Galois groups over a given field. In particular, this includes the question of the structure and the representations of the absolute Galois group of K, as well as its finite epimorphic images, generally referred to as the inverse problem of Galois theory..In the past few years, important strides have been made in all of these areas. The aim of the book is to provide a systematic and extensive overview of these advances, with special emphasis on the rigidity method and its applications. Among others, the book presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems, together with a collection of the current Galois realizations.. .There have been two major developments since the first edition of this book was released. The first is the algebraization of the Katz algorithm for (linearly) rigid generating systems of finite groups; the second is the emergence of a modular Galois theory. The latter has led to new construction methods for additive polynomials with given Galois group over fields of positive characteristic. Both methods h |
| 出版日期 | Book 2018Latest edition |
| 关键词 | 12F12, 12-XX, 20-XX; Inverse Galois theory; Rigid Group generators; Braid groups; Embedding problems; Mod |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-662-55420-3 |
| isbn_softcover | 978-3-662-58555-9 |
| isbn_ebook | 978-3-662-55420-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag GmbH Germany, part of Springer Nature 2018 |
发表于 2025-3-21 19:46:58
