Skip to main content

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 193))

Abstract

In Chapter 3 we studied variants of class and unit groups, the ray class groups Clm(K), as well as the associated unit groups Um(K) of units multiplicatively congruent to 1 modulo m. The fundamental application of these notions through the deep theorems of class field theory is the construction of Abelian extensions.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media New York

About this chapter

Cite this chapter

Cohen, H. (2000). Variations on Class and Unit Groups. In: Advanced Topics in Computational Number Theory. Graduate Texts in Mathematics, vol 193. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8489-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-8489-0_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6419-4

  • Online ISBN: 978-1-4419-8489-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics