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• catalog contributor b11430029.
• catalog contributor b11430030.
• catalog created "1999.".
• catalog date "1999".
• catalog date "1999.".
• catalog dateCopyrighted "1999.".
• catalog description "Ch. I. The Rigidity Method -- 1. The Inverse Galois Problem over C(t) and R(t) -- 2. Arithmetic Fundamental Groups -- 3. Fields of Definition of Galois Extensions -- 4. The Rigidity Property -- 5. Verification of Rigidity -- 6. Geometric Automorphisms -- 7. Rational Translates of Galois Extensions -- 8. Automorphisms of the Galois Group -- 9. Computation of Polynomials with Prescribed Group -- 10. Specialization of Geometric Galois Extensions -- Ch. II. Applications of Rigidity -- 1. The General Linear Groups -- 2. Pseudo-Reflection Groups and Belyi Triples -- 3. The Classical Groups -- 4. The Exceptional Groups of Rank at Most 2 -- 5. The Exceptional Groups of Large Rank -- 6. Galois Realizations of Linear and Unitary Groups over Q -- 7. Galois Realizations of Symplectic and Orthogonal Groups over Q -- 8. Galois Realizations of Exceptional Groups over Q -- 9. The Sporadic Groups -- 10. Summary for Simple Groups -- Ch. III. Action of Braids -- 1. Braid Groups -- 2. Profinite Braid Groups -- 3. Galois Descent -- 4. Cyclic Polynomials -- 5. Rigid Braid Orbits -- 6. Unramified Rational Places -- 7. Braids and Geometric Automorphisms -- 8. Ramified Rational Places -- 9. Outer Automorphism Groups as Galois Groups -- 10. Finite Quotients of the Braid Group as Galois Groups -- Ch. IV. Embedding Problems -- 1. Geometric Embedding Problems -- 2. Split Embedding Problems with Abelian Kernel -- 3. Embedding Problems with Centerless Kernel -- 4. Verification of the GAR-Property -- 5. Frattini Embedding Problems -- 6. The Quadratic Trace Form -- 7. Brauer Embedding Problems -- 8. Concordant Embedding Problems -- 9. The Hasse Embedding Obstruction -- 10. Nilpotent Galois Groups over Global Fields -- Ch. V. Rigid Analytic Methods -- 1. Results from Rigid Analytic Geometry -- 2. The Inverse Problem over Q[subscript p](t) and F[subscript p](t) -- 3. Free Quotients of the Fundamental Group -- 4. Large Fields -- 5. On the Fundamental Group with Restricted Ramification.".
• catalog description "Includes bibliographical references and index.".
• catalog extent "xx, 426 p. ;".
• catalog identifier "3540628908 (alk. paper)".
• catalog isPartOf "Springer monographs in mathematics".
• catalog issued "1999".
• catalog issued "1999.".
• catalog language "eng".
• catalog publisher "New York : Springer,".
• catalog subject "512/.3 21".
• catalog subject "Inverse Galois theory.".
• catalog subject "QA247 .M26 1999".
• catalog tableOfContents "Ch. I. The Rigidity Method -- 1. The Inverse Galois Problem over C(t) and R(t) -- 2. Arithmetic Fundamental Groups -- 3. Fields of Definition of Galois Extensions -- 4. The Rigidity Property -- 5. Verification of Rigidity -- 6. Geometric Automorphisms -- 7. Rational Translates of Galois Extensions -- 8. Automorphisms of the Galois Group -- 9. Computation of Polynomials with Prescribed Group -- 10. Specialization of Geometric Galois Extensions -- Ch. II. Applications of Rigidity -- 1. The General Linear Groups -- 2. Pseudo-Reflection Groups and Belyi Triples -- 3. The Classical Groups -- 4. The Exceptional Groups of Rank at Most 2 -- 5. The Exceptional Groups of Large Rank -- 6. Galois Realizations of Linear and Unitary Groups over Q -- 7. Galois Realizations of Symplectic and Orthogonal Groups over Q -- 8. Galois Realizations of Exceptional Groups over Q -- 9. The Sporadic Groups -- 10. Summary for Simple Groups -- Ch. III. Action of Braids -- 1. Braid Groups -- 2. Profinite Braid Groups -- 3. Galois Descent -- 4. Cyclic Polynomials -- 5. Rigid Braid Orbits -- 6. Unramified Rational Places -- 7. Braids and Geometric Automorphisms -- 8. Ramified Rational Places -- 9. Outer Automorphism Groups as Galois Groups -- 10. Finite Quotients of the Braid Group as Galois Groups -- Ch. IV. Embedding Problems -- 1. Geometric Embedding Problems -- 2. Split Embedding Problems with Abelian Kernel -- 3. Embedding Problems with Centerless Kernel -- 4. Verification of the GAR-Property -- 5. Frattini Embedding Problems -- 6. The Quadratic Trace Form -- 7. Brauer Embedding Problems -- 8. Concordant Embedding Problems -- 9. The Hasse Embedding Obstruction -- 10. Nilpotent Galois Groups over Global Fields -- Ch. V. Rigid Analytic Methods -- 1. Results from Rigid Analytic Geometry -- 2. The Inverse Problem over Q[subscript p](t) and F[subscript p](t) -- 3. Free Quotients of the Fundamental Group -- 4. Large Fields -- 5. On the Fundamental Group with Restricted Ramification.".
• catalog title "Inverse Galois theory / Gunter Malle, B. Heinrich Matzat.".
• catalog type "text".