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  • © 1999

Inverse Galois Theory

  • Among others this monograph presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems combined with a collection of the existing Galois realizations.
  • The last chapter gives an introduction to the results on fundamental groups in positive characteristic obtained by rigid analytic methods.
  • Finally, it is supplemented by tables of example polynomials for transitive respectively primitive permutation groups up to degree 30.

Part of the book series: Springer Monographs in Mathematics (SMM)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XV
  2. The Rigidity Method

    • Gunter Malle, B. Heinrich Matzat
    Pages 1-88
  3. Applications of Rigidity

    • Gunter Malle, B. Heinrich Matzat
    Pages 89-176
  4. Action of Braids

    • Gunter Malle, B. Heinrich Matzat
    Pages 177-261
  5. Embedding Problems

    • Gunter Malle, B. Heinrich Matzat
    Pages 263-360
  6. Rigid Analytic Methods

    • Gunter Malle, B. Heinrich Matzat
    Pages 361-401
  7. Back Matter

    Pages 403-436

About this book

Inverse Galois Theory is concerned with the question of which finite groups occur as Galois Groups over a given field. In particular, this includes the question of the structure and the representations of the absolute Galois group of K and also the question about its finite epimorphic images, the so-called inverse problem of Galois theory. In all these areas important progress was made in the last few years. The aim of the book is to give a consistent and reasonably complete survey of these results, with the main emphasis on the rigidity method and its applications. Among others the monograph presents the most successful known existence theorems and construction methods for Galois extensions and solutions of embedding problems combined with a collection of the existing Galois realizations.

Authors and Affiliations

  • FB Mathematik/Informatik, Universität Gesamthochschule Kassel, Kassel, Germany

    Gunter Malle

  • Interdisziplinäres Zentrum für Wissenschaftliches Rechnen, Universität Heidelberg, Heidelberg, Germany

    B. Heinrich Matzat

Bibliographic Information

  • Book Title: Inverse Galois Theory

  • Authors: Gunter Malle, B. Heinrich Matzat

  • Series Title: Springer Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-12123-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-3-540-62890-3Published: 17 August 1999

  • eBook ISBN: 978-3-662-12123-8Published: 09 March 2013

  • Series ISSN: 1439-7382

  • Series E-ISSN: 2196-9922

  • Edition Number: 1

  • Number of Pages: XV, 437

  • Topics: Group Theory and Generalizations, Topology

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access