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  • Book
  • © 1992

Group Rings and Class Groups

Birkhäuser

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

    View author publications

    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
    PDF

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

    1. Front Matter

      Pages 1-4
      PDF

    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
    PDF

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

    1. Front Matter

      Pages 153-154
      PDF

    2. Introduction and Review of the Tame Case

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

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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

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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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Buy it now

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

Tax calculation will be finalised at checkout

Other ways to access

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