Kniha Groups as Galois Groups Helmut Volklein

Groups as Galois Groups

An Introduction

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
3 526
This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem o...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
1996
Stránek
268
EAN
9780521562805
ISBN
0521562805
Enbook ID
02035327
Hmotnost
536
Rozměry
158 x 236 x 21

Kompletní popis

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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