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Filtered Groups and Lie Algebras

  • Jean-Pierre Serre
Part of the Lecture Notes in Mathematics book series (LNM, volume 1500)

Abstract

Let G be a group and let x, y, zG. We will use the following notations:
  1. (i)

    x y = y−1xy, hence the map GG given by x ↦ x y is an automorphism of G, and we have the relation (x y ) z = x yz .

     
  2. (ii)

    (x,y) = x−1y−1xy which is called the commutator of x and y.

     

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Collège de FranceParisFrance

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