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Free Groups and Their Subgroups

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Part of the Classics in Mathematics book series (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.

Keywords

Free Group Free Product Finite Index Fuchsian Group Normal Closure 
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-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  1. 1.Dept. of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Dept. of MathematicsUniversity of IllinoisUrbanaUSA

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