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  • Book
  • © 1987

Konstruktive Galoistheorie

Authors:

  1. Bernd Heinrich Matzat
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1284)

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  • ISBN: 978-3-540-47978-9
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Table of contents (5 chapters)

  1. Front Matter

    Pages I-X
    PDF

  2. Das Umkehrproblem der Galoistheorie

    • Bernd Heinrich Matzat
    Pages 1-7

  3. Fundamentalgruppen

    • Bernd Heinrich Matzat
    Pages 9-55

  4. Klassenzahlen von Erzeugendensystemen

    • Bernd Heinrich Matzat
    Pages 57-129

  5. Topologische Automorphismen

    • Bernd Heinrich Matzat
    Pages 131-214

  6. Einbettungsprobleme Über Hilbertkörpern

    • Bernd Heinrich Matzat
    Pages 215-268

  7. Back Matter

    Pages 269-277
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About this book

This volume is based on a lecture course on constructive Galois Theory given in Karlsruhe by the author. The purpose of the course was to introduce students to the methods developed in the past few years for the realisation of finite groups as Galois groups over Q or over abelian number fields. Thus the book is addressed primarily to students with algebraic interests, as seminar material. Specialiists also will find in it a multitude of examples of polynomials with special Galois groups, which can of course also be used for the usual algebra courses.
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Keywords

  • Algebra
  • Automorphismus
  • Galois Theorie
  • Galoisgruppe
  • endliche Gruppe
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Bibliographic Information

  • Book Title: Konstruktive Galoistheorie

  • Authors: Bernd Heinrich Matzat

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0098324

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18444-7Published: 21 October 1987

  • eBook ISBN: 978-3-540-47978-9Published: 08 December 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 294

  • Topics: Group Theory and Generalizations

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Access via your institution
eBook USD 39.95
Price excludes VAT (USA)
  • ISBN: 978-3-540-47978-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 49.99
Price excludes VAT (USA)
Learn about institutional subscriptions