Overview

The theme of this book are the interactions between group theory and algebra/geometry/number theory, showing ubiquity and power of the basic principle of Galois theory. The book presents recent developments in a major line of work about covers of the projective line (and other curves), their fields of definition and parameter spaces, and associated questions about arithmetic fundamental groups. This is intimately tied up with the Inverse Problem of Galois Theory, and uses methods of algebraic geometry, group theory and number theory.

Full Product Details

Author:   Helmut Voelklein ,  Tanush Shaska
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   12
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9781441936349

ISBN 10:   1441936343
Pages:   168
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Supplementary Thoughts on Symplectic Groups.- Automorphisms of the Modular Curve.- Reducing the Fontaine-Mazur Conjecture to Group Theory.- Relating Two Genus 0 Problems of John Thompson.- Relatively Projective Groups as Absolute Galois Groups.- Invariants of Binary Forms.- Some Classical Views on the Parameters of the Grothendieck-Teichmüller Group.- The Image of a Hurwitz Space Under the Moduli Map.- Very Simple Representations: Variations on a Theme of Clifford.

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