| 书目名称 | Progress in Galois Theory |
| 副标题 | Proceedings of John |
| 编辑 | Helmut Voelklein,Tanush Shaska |
| 视频video | |
| 概述 | Contains recent results in this classical and elegant area of mathematics.Most of the authors are first class mathematicians with a wide reputation.Includes supplementary material: |
| 丛书名称 | Developments in Mathematics |
| 图书封面 |  |
| 描述 | The legacy of Galois was the beginning of Galois theory as well as group theory. From this common origin, the development of group theory took its own course, which led to great advances in the latter half of the 20th cen tury. It was John Thompson who shaped finite group theory like no-one else, leading the way towards a major milestone of 20th century mathematics, the classification of finite simple groups. After the classification was announced around 1980, it was again J. Thomp son who led the way in exploring its implications for Galois theory. The first question is whether all simple groups occur as Galois groups over the rationals (and related fields), and secondly, how can this be used to show that all finite groups occur (the ‘Inverse Problem of Galois Theory‘). What are the implica tions for the stmcture and representations of the absolute Galois group of the rationals (and other fields)? Various other applications to algebra and number theory have been found, most prominently, to the theory of algebraic curves (e.g., the Guralnick-Thompson Conjecture on the Galois theory of covers of the Riemann sphere). |
| 出版日期 | Conference proceedings 2005 |
| 关键词 | Arithmetic; Galois theory; Grothendieck topology; Group theory; Invariant; Modular curve; Morphism; algebra |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b101762 |
| isbn_softcover | 978-1-4419-3634-9 |
| isbn_ebook | 978-0-387-23534-9Series ISSN 1389-2177 Series E-ISSN 2197-795X |
| issn_series | 1389-2177 |
| copyright | Springer-Verlag US 2005 |
发表于 2025-3-21 19:24:05
