Książka Groups as Galois Groups Helmut Volklein

Groups as Galois Groups

An Introduction

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-18 dni
622.08
This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem o...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
1996
strony
268
EAN
9780521562805
ISBN
0521562805
Enbook ID
02035327
Waga
536
Wymiary
158 x 236 x 21

Pełny opis

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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