Generators and Relations

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


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).


Word Problem Free Product Free Resolution Normal Closure Conjugacy Problem 
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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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