Skip to main content
SpringerLink
Log in

Binomials

  • Chapter
Field Theory

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 158))

  • 1726 Accesses

Abstract

We continue our study of binomials by determining conditions that characterize irreducibility and describing the Galois group of a binomial xn - u in terms of 2 × 2 matrices over ℤn. We then consider an application of binomials to determining the irrationality of linear combinations of radicals.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

  1. Department of Mathematics, California State University, Fullerton, CA, 92637, USA

    Steven Roman

Authors
  1. Steven Roman
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Steven Roman

About this chapter

Cite this chapter

Roman, S. (1995). Binomials. In: Field Theory. Graduate Texts in Mathematics, vol 158. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2516-4_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-2516-4_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94408-1

  • Online ISBN: 978-1-4612-2516-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation