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Groups as Galois Groups

Name: Groups as Galois Groups
Brand: Cambridge University Press
SKU: 9780521065030
Price: 69.8 EUR
Availability: InStock

An Introduction

Автор: Helmut Volklein

Език:

Корици: С меки корици

Издател: Cambridge University Press

Наличност: Външен склад

Изпращаме след 9-15 дни

69.80 € 136.52 лв

This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem o...

Информация за книгата

Автор

Helmut Volklein

Език

Английски език

Корици

Книга - С меки корици

Издадена

2008

страници

268

EAN

9780521065030

ISBN

0521065038

Enbook ID

02020302

Издател

Cambridge University Press

Теглоt

424

Размери

154 x 229 x 18

Пълно описание

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.