proceedings of John Thompson's 70th birthday conference /
First Statement of Responsibility
edited by Helmut Voelklein, Tanush Shaska.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
2005.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (1 volume) :
Other Physical Details
figure, table
SERIES
Series Title
Developments in mathematics ;
Volume Designation
v. 12
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Preliminaries; Contents; Preface; 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 GT; The image of a Hurwitz space under the moduli map; Very simple representations: variations on a theme of Clifford.
0
SUMMARY OR ABSTRACT
Text of Note
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.