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Units in Skew Fields

  • Book
  • © 2000

Overview

Authors:
  1. Ernst Kleinert

    1. Mathematisches Seminar, Universität Hamburg, Hamburg, Germany

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Part of the book series: Progress in Mathematics (PM, volume 186)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-viii
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  2. Basic Facts

    • Ernst Kleinert
    Pages 1-4

  3. Hey’s Theorem and Consequences

    • Ernst Kleinert
    Pages 5-7

  4. Siegel-Weyl Reduction Theory

    • Ernst Kleinert
    Pages 8-16

  5. The Tamagawa Number and the Volume of G(ℝ)/G(ℤ)

    • Ernst Kleinert
    Pages 17-30

  6. The Size of Г

    • Ernst Kleinert
    Pages 31-40

  7. Margulis’ Finiteness Theorem

    • Ernst Kleinert
    Pages 41-59

  8. A Zariski Dense and a Free Subgroup of Г

    • Ernst Kleinert
    Pages 60-65

  9. An Example

    • Ernst Kleinert
    Pages 66-71

  10. Problems

    • Ernst Kleinert
    Pages 72-76

  11. Back Matter

    Pages 77-80
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Keywords

About this book

This book is devoted to a study of the unit groups of orders in skew fields, finite dimensional and central over the rational field; it thereby belongs to the field of noncommutative arithmetic. Its purpose is a synopsis of results and methods, including full proofs of the most important results. It is addressed to researchers in number theory and arithmetic groups.

Authors and Affiliations

  • Mathematisches Seminar, Universität Hamburg, Hamburg, Germany

    Ernst Kleinert

Bibliographic Information

  • Book Title: Units in Skew Fields

  • Authors: Ernst Kleinert

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8409-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2000

  • Hardcover ISBN: 978-3-7643-6293-5Published: 01 April 2000

  • Softcover ISBN: 978-3-0348-9555-2Published: 29 October 2012

  • eBook ISBN: 978-3-0348-8409-9Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: VIII, 80

  • Topics: Algebra

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