Abstract
Let G be a group and let x, y, z ∈ G. We will use the following notations:
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(i)
xy = y−1xy, hence the map G → G given by x ↦ xy is an automorphism of G, and we have the relation (xy)z = xyz.
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(ii)
(x,y) = x−1y−1xy which is called the commutator of x and y.
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© 1992 Springer-Verlag Berlin Heidelberg
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Serre, JP. (1992). Filtered Groups and Lie Algebras. In: Lie Algebras and Lie Groups. Lecture Notes in Mathematics, vol 1500. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70634-2_2
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DOI: https://doi.org/10.1007/978-3-540-70634-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55008-2
Online ISBN: 978-3-540-70634-2
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