ENGLISH

Inverse Galois theory

By Gunter Malle , B.H. Matzat

Book information

Publisher
Springer
Year
2002
ISBN
3540628908, 9783540628903
Open Library ID
OL16950497M
Language
english
Format
DJVU
Filesize
3 MB (3370948 bytes)
Series
Springer monographs in mathematics
Edition
1
Pages
450\450
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

Inverse Galois Theory is concerned with 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 and also the question about its finite epimorphic images, the so-called inverse problem of Galois theory. In all these areas important progress was made in the last few years. The aim of the book is to give a consistent and reasonably complete survey of these results, with the main emphasis on the rigidity method and its applications. Among others the monograph presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems combined with a collection of the existing Galois realizations.

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