Geometry of Automorphisms for Free Groups

Peter Kramer
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Peter Kramer: Institut für Theoretische Physik der Universität

A chapter in Symmetries in Science VIII, 1995, pp 291-298 from Springer

Abstract: Abstract New generators, relations and subgroups are described for the group Aut(F 3) of automorphisms of the free group F 3. A non-commutative crystallography is described with finite point groups, non-commutative translations, and corresponding space groups. A geometric setting is given in terms of affine transformations.

Keywords: Normal Subgroup; Affine Transformation; Coxeter Group; Semi Direct Product; Translation Group (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4615-1915-7_21

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