Filtered Groups and Lie Algebras
Part of the Lecture Notes in Mathematics book series (LNM, volume 1500)
Let G be a group and let x, y, z ∈ G. We will use the following notations:
x y = y−1xy, hence the map G → G given by x ↦ x y is an automorphism of G, and we have the relation (x y ) z = x yz .
(x,y) = x−1y−1xy which is called the commutator of x and y.
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© Springer-Verlag Berlin Heidelberg 1992