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Generators and Relations

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

Abstract

Groups are very often described as quotient groups of free groups: G = F/N. If F is free with basis X and N is the normal closure in F of a set R, we say that the pair (X; R) is a presentation for G, and, by a mild abuse of language, we write G = (X; R).

Keywords

Word Problem Free Product Free Resolution Normal Closure Conjugacy Problem 
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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