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" Progress in Galois theory : "
edited by Helmut Voelklein, Tanush Shaska.
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BL
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| Record Number
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964151
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b718521
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| Title & Author
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Progress in Galois theory : : proceedings of John Thompson's 70th birthday conference /\ edited by Helmut Voelklein, Tanush Shaska.
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| Publication Statement
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New York :: Springer,, 2005.
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| Series Statement
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Developments in mathematics ;; v. 12
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| Page. NO
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1 online resource (1 volume) :: figure, table
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| ISBN
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0387235337
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: 0387235345
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: 1441936343
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: 9780387235332
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: 9780387235349
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: 9781441936349
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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.
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| Abstract
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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.
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| Subject
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Galois theory, Congresses.
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| Subject
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Algebra
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Algebraic Geometry
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Group Theory and Generalizations
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Mathematics.
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Galois theory.
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MATHEMATICS-- Algebra-- Intermediate.
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| Subject
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Galois theory.
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| Dewey Classification
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512/.32
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| LC Classification
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QA374.P736 2005eb
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| NLM classification
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O153. 4-532clc
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| Added Entry
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Shaska, Tanush.
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Voelklein, Helmut.
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