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Groups as Galois Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Volklein, Helmut 作者

译者

2008-6 出版日期

268 页数

$ 63.28 价格

丛书系列

9780521065030 图书编码

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Groups as Galois Groups 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Groups as Galois Groups 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

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