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  • Book
  • © 1983

Gauss Sums and p-adic Division Algebras

Part of the book series: Lecture Notes in Mathematics (LNM, volume 987)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XI
  2. Arithmetic of local division algebras

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 1-7
  3. Introduction to Gauss Sums

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 8-33
  4. Functional equation

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 34-41
  5. One-dimensional representations

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 42-52
  6. The basic correspondence

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 53-67
  7. The basic inductive step

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 68-86
  8. The general inductive process

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 87-98
  9. Representations of certain group extensions

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 99-121
  10. Trace computations

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 122-145
  11. Induction constants for Galois Gauss sums

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 146-155
  12. Synthesis of results

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 156-165
  13. modified correspondences

    • Colin J. Bushnell, Albrecht Fröhlich
    Pages 166-182
  14. Back Matter

    Pages 183-187

Keywords

  • Division
  • Gausssche Summe
  • algebra
  • arithmetic
  • computation
  • constant
  • equation
  • function
  • functional
  • functional equation
  • group
  • mathematical induction
  • p-adische Divisionsalgebra
  • presentation

Bibliographic Information

  • Book Title: Gauss Sums and p-adic Division Algebras

  • Authors: Colin J. Bushnell, Albrecht Fröhlich

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0066413

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1983

  • Softcover ISBN: 978-3-540-12290-6Published: 01 April 1983

  • eBook ISBN: 978-3-540-39618-5Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 190

  • Topics: Algebra

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions