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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

Author: Michael D Fried; Shreeram Shankar Abhyankar; American Mathematical Society.
Publisher: Providence, R.I. : American Mathematical Society, ©1995.
Series: Contemporary mathematics (American Mathematical Society), v. 186.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:
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
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Genre/Form: Kongress
Conference papers and proceedings
Congresses
Congrès
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michael D Fried; Shreeram Shankar Abhyankar; American Mathematical Society.
ISBN: 0821802992 9780821802991
OCLC Number: 32389369
Description: x, 401 pages : illustrations ; 26 cm.
Contents: 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.
Series Title: Contemporary mathematics (American Mathematical Society), v. 186.
Responsibility: Michael D. Fried, coordinating editor ; Shreeram S. Abhyankar [and others], editors.
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Abstract:

Describes the research on explicit presentation of the absolute Galois group of the rationals. Containing the appearance of generalizations of modular curves, this book presents applications that  Read more...

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