Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Groups as Galois Groups
  • Cited by 90
      • Show more authors
      • You may already have access via personal or institutional login
    • Select format
    • Publisher:
      Cambridge University Press
      Publication date:
      22 September 2009
      13 August 1996
      ISBN:
      9780511471117
      9780521562805
      9780521065030
      DOI:
      https://doi.org/10.1017/CBO9780511471117
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.536kg, 268 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.396kg, 268 Pages
      • Subjects:
      Mathematics (general), Mathematics, Number Theory, Algebra
      Series:
      Cambridge Studies in Advanced Mathematics (53)
    You may already have access via personal or institutional login
    • Selected: Digital
    Add to cart View cart Buy from Cambridge.org
    Subjects:
    Mathematics (general), Mathematics, Number Theory, Algebra
    Series:
    Cambridge Studies in Advanced Mathematics (53)
    Information

    Book description

    This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realisation of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field.

    Reviews

    Review of the hardback:‘I highly recommend this book to all readers who like to learn this aspect of Galois theory, those who like to give a course on Galois theory and those who like to see how different mathematical methods as analysis, Riemann surface theory and group theory yield a nice algebraic result.’

    Translated from Martin Epkenhans Source: Zentralblatt für Mathematiche

    Review of the hardback:‘… a very helpful introduction into an active research area, recommended for graduate students and anyone interested in recent progress in the inverse Galois problem.’

    B. H. Matzat Source: Bulletin of London Mathmatical Society

    Refine List

    Actions for selected content:

    Select all | Deselect all
    • View selected items
    • Export citations
    • Download PDF (zip)
    • Save to Kindle
    • Save to Dropbox
    • Save to Google Drive

    Save Search

    You can save your searches here and later view and run them again in "My saved searches".

    Please provide a title, maximum of 40 characters.
    Cancel
    ×

    Contents

    Contents

    Metrics

    Altmetric attention score

    Full text views

    Total number of HTML views: 0
    Total number of PDF views: 0 *
    Loading metrics...

    Book summary page views

    Total views: 0 *
    Loading metrics...

    * Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

    Usage data cannot currently be displayed.

    Accessibility standard: Unknown

    Why this information is here

    This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

    Accessibility Information

    Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.