Lie Groups pp 146-149 | Cite as

The Fundamental Group

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)

Abstract

In this chapter, we will look more closely at the fundamental group of a compact Lie group G. We will show that it is a finitely generated Abelian group and that every loop in G can be deformed into any given maximal torus. The key arguments are topological and are adapted from Adams [1].

Keywords

Fundamental Group Maximal Torus Dense Open Subset Finite Union Local Homeomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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