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Inverse Galois Theory - Gunter Malle, B.H. Matzat

Inverse Galois Theory

Buch | Hardcover
XV, 437 Seiten
1999 | 1999
Springer Berlin (Verlag)
978-3-540-62890-3 (ISBN)
CHF 74,85 inkl. MwSt
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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.

I. The Rigidity Method.- II. Applications of Rigidity.- III. Action of Braids.- IV. Embedding Problems.- V. Rigid Analytic Methods.

Erscheint lt. Verlag 17.8.1999
Reihe/Serie Springer Monographs in Mathematics
Zusatzinfo XV, 437 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 706 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Arithmetic fundamentals group • Braid Groups • embedding problems • galois cohomology • Galois-Theorie • Galois Theory • inverse Galois problem • polynomials • rigid analytic geometry • rigidity of finite groups
ISBN-10 3-540-62890-8 / 3540628908
ISBN-13 978-3-540-62890-3 / 9783540628903
Zustand Neuware
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