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• catalog abstract "This book contains the refereed proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, held in July 1993 at the University of Washington, Seattle. A new review of Serre's Topics in Galois Theory serves as a starting point. The book describes the latest research on explicit presentation of the absolute Galois group of the rationals. Containing the first appearance of generalizations of modular curves, the book presents applications that demonstrate the full scope of the Inverse Galois Problem. In particular, the papers collected here show the ubiquity of the applications of the Inverse Galois Problem and its compelling significance. The book will serve as a guide to progress on the Inverse Galois Problem and as an aid in using this work in other areas of mathematics. This includes coding theory and other finite field applications. Group theory and a first course in algebraic curves are sufficient for understanding many papers in the volume. Graduate students will find this an excellent reference to current research, as it contains a list of problems appropriate for thesis material in arithmetic geometry, algebraic number theory, and group theory.".
• catalog contributor b8158500.
• catalog contributor b8158501.
• catalog contributor b8158502.
• catalog contributor b8158503.
• catalog created "1995.".
• catalog date "1995".
• catalog date "1995.".
• catalog dateCopyrighted "1995.".
• catalog description "Explicit Galois realization of C₁₆-extensions of A[sub script n] and S[subscript n] / Teresa Crespo -- Topics in Galois theory / Michael Fried -- Parametric solutions of embedding problems / B.H. Matzat -- Some projective linear groups over finite fields as Galois grous over Q / Amadeu Reverter and Núria Vila -- K-admissibility of metacyclic 2-groups / Steven Liedahl and Jack Sonn -- Embedding problems and the C₁₆->C obstruction / John R. Swallow -- Cyclic covers of P¹ and Galois action on their division points / Helmut Völklein -- Introduction to modular towers : generalizing dihedral group-modular curve connections / Michael Fried -- On Galois actions on profinite completions of braid groups / Yasutaka Ihara and Makoto Matsumoto -- On the Galois image in the derivation of [pi]₁ of the projectives line minus three points / Makoto Matsumoto -- Covers of P¹ over the p-adics / Pierre Dèbes -- Existence de points p-adiques pour tout p sur un espace de Hurwitz / Bruno Deschamps -- Stable models / Eric Dew -- Tout groupe fini est un groupe de Galois sur Q[subscript P](T), d'apres Harbater / Qing Liu -- Specializations of coverings and their Galois groups / Wolfgang K. Seiler -- Rational points and canonical heights on K3-surfaces in P¹ x P¹ x P¹ / Lan Wang -- Mathieu group coverings and linear group coverings / Shreeram S. Abhyankar -- Fundamental groups for arbitrary categories / Paul Feit -- Monodromy groups of branched coverings : the generic case / Robert M. Guralnick and Michael G. Neubauer -- Fundamental groups and embedding problems in characteristic p / David Harbater -- On free profinite groups of uncountable rank / Moshe Jarden -- Primitive monodromy groups of polynomials / Peter Müller.".
• catalog description "Group theory and a first course in algebraic curves are sufficient for understanding many papers in the volume. Graduate students will find this an excellent reference to current research, as it contains a list of problems appropriate for thesis material in arithmetic geometry, algebraic number theory, and group theory.".
• catalog description "Includes bibliographical references.".
• catalog description "This book contains the refereed proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, held in July 1993 at the University of Washington, Seattle. A new review of Serre's Topics in Galois Theory serves as a starting point. The book describes the latest research on explicit presentation of the absolute Galois group of the rationals. Containing the first appearance of generalizations of modular curves, the book presents applications that demonstrate the full scope of the Inverse Galois Problem. In particular, the papers collected here show the ubiquity of the applications of the Inverse Galois Problem and its compelling significance. The book will serve as a guide to progress on the Inverse Galois Problem and as an aid in using this work in other areas of mathematics. This includes coding theory and other finite field applications.".
• catalog extent "x, 401 p. ;".
• catalog identifier "0821802992".
• catalog isPartOf "Contemporary mathematics (American Mathematical Society) ; v. 186.".
• catalog isPartOf "Contemporary mathematics, 0271-4132 ; 186".
• catalog issued "1995".
• catalog issued "1995.".
• catalog language "eng".
• catalog publisher "Providence, R.I. : American Mathematical Society,".
• catalog subject "512/.3 20".
• catalog subject "Inverse Galois theory Congresses.".
• catalog subject "QA247 .J65 1993".
• catalog tableOfContents "Explicit Galois realization of C₁₆-extensions of A[sub script n] and S[subscript n] / Teresa Crespo -- Topics in Galois theory / Michael Fried -- Parametric solutions of embedding problems / B.H. Matzat -- Some projective linear groups over finite fields as Galois grous over Q / Amadeu Reverter and Núria Vila -- K-admissibility of metacyclic 2-groups / Steven Liedahl and Jack Sonn -- Embedding problems and the C₁₆->C obstruction / John R. Swallow -- Cyclic covers of P¹ and Galois action on their division points / Helmut Völklein -- Introduction to modular towers : generalizing dihedral group-modular curve connections / Michael Fried -- On Galois actions on profinite completions of braid groups / Yasutaka Ihara and Makoto Matsumoto -- On the Galois image in the derivation of [pi]₁ of the projectives line minus three points / Makoto Matsumoto -- Covers of P¹ over the p-adics / Pierre Dèbes -- Existence de points p-adiques pour tout p sur un espace de Hurwitz / Bruno Deschamps -- Stable models / Eric Dew -- Tout groupe fini est un groupe de Galois sur Q[subscript P](T), d'apres Harbater / Qing Liu -- Specializations of coverings and their Galois groups / Wolfgang K. Seiler -- Rational points and canonical heights on K3-surfaces in P¹ x P¹ x P¹ / Lan Wang -- Mathieu group coverings and linear group coverings / Shreeram S. Abhyankar -- Fundamental groups for arbitrary categories / Paul Feit -- Monodromy groups of branched coverings : the generic case / Robert M. Guralnick and Michael G. Neubauer -- Fundamental groups and embedding problems in characteristic p / David Harbater -- On free profinite groups of uncountable rank / Moshe Jarden -- Primitive monodromy groups of polynomials / Peter Müller.".
• catalog title "Recent developments in the inverse Galois problem : a Joint Summer Research Conference on Recent Developments in the Inverse Galois Problem, July 17-23, 1993, University of Washington, Seattle / Michael D. Fried, coordinating editor ; Shreeram S. Abhyankar ... [et al.], editors.".
• catalog type "Conference proceedings. fast".
• catalog type "text".