Skip to main content

Free Groups and Their Subgroups

  • Chapter
Combinatorial Group Theory

Part of the book series: Classics in Mathematics ((CLASSICS,volume 89))

Abstract

Informally, a group is free on a set of generators if no relation holds among these generators except the trivial relations that hold among any set of elements in any group. We make this precise as follows.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
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

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

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Lyndon, R.C., Schupp, P.E. (2001). Free Groups and Their Subgroups. In: Combinatorial Group Theory. Classics in Mathematics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61896-3_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-61896-3_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41158-1

  • Online ISBN: 978-3-642-61896-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics