Skip to main content

Introduction to Group Theory

  • Chapter
  • First Online:
Algebraic Topology

Abstract

So far, in order to understand topological spaces, we have been using numerical invariants such as the Euler characteristic in order to detect whether spaces are homeomorphic or not. However, there is a wide class of other invariants, which associate other sorts of objects to spaces. For the next few chapters, we will build up to the fundamental group, and then we will work on understanding its behavior.

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 EPUB and 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

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Clark Bray .

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Bray, C., Butscher, A., Rubinstein-Salzedo, S. (2021). Introduction to Group Theory. In: Algebraic Topology. Springer, Cham. https://doi.org/10.1007/978-3-030-70608-1_5

Download citation

Publish with us

Policies and ethics