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Birkhäuser

Group Rings and Class Groups

  • Book
  • © 1992

Overview

Authors:
  1. Klaus W. Roggenkamp

    1. Mathematisches Institut B, Universität Stuttgart, Stuttgart 80, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. Martin J. Taylor

    1. Dept. of Mathematics U.M.I.S.T., Manchester, England

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Oberwolfach Seminars (OWS, volume 18)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-v
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  2. DMV-Seminar Part 1 Group Rings: Units and the Isomorphism Problem

    1. Front Matter

      Pages 1-4
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    2. Introduction

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 5-6

    3. Some general facts

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 7-9

    4. Some notes on representation theory

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 9-14

    5. The leading coefficient of units

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 15-20

    6. Class sum correspondence

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 21-26

    7. More on the class sum correspondence

      • W. Kimmerle
      Pages 27-37

    8. Subgroup rigidity

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 38-59

    9. Global units

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 60-73

    10. Locally isomorphic group rings

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 74-81

    11. Zassenhaus conjecture

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 82-90

    12. Variations of the Zassenhaus conjecture

      • W. Kimmerle
      Pages 91-103

    13. Group Extensions

      • Alexander Zimmermann
      Pages 104-116

    14. Class sums of p-elements

      • W. Kimmerle
      Pages 117-124

    15. Clifford theory revisited

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 125-140

    16. Examples

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 141-143

  3. Back Matter

    Pages 144-152
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  4. DMV-Seminar Part 2 Hopf Orders and Galois Module Structure

    1. Front Matter

      Pages 153-154
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    2. Introduction and Review of the Tame Case

      • Klaus W. Roggenkamp, Martin J. Taylor
      Pages 155-160
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Keywords

Authors and Affiliations

  • Mathematisches Institut B, Universität Stuttgart, Stuttgart 80, Germany

    Klaus W. Roggenkamp

  • Dept. of Mathematics U.M.I.S.T., Manchester, England

    Martin J. Taylor

Bibliographic Information

  • Book Title: Group Rings and Class Groups

  • Authors: Klaus W. Roggenkamp, Martin J. Taylor

  • Series Title: Oberwolfach Seminars

  • DOI: https://doi.org/10.1007/978-3-0348-8611-6

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1992

  • Softcover ISBN: 978-3-7643-2734-7Published: 31 March 1992

  • eBook ISBN: 978-3-0348-8611-6Published: 06 December 2012

  • Series ISSN: 1661-237X

  • Series E-ISSN: 2296-5041

  • Edition Number: 1

  • Number of Pages: VI, 210

  • Topics: Group Theory and Generalizations, Algebra

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