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.
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References
J Garcia-Escudero and P Kramer 1993, Anales de Fisica, Monografias 1, vol.1, 339–42, Madrid
J Garcia-Escudero and P Kramer 1993, J Phys A26 L1029–35
J Garcia-Escudero and P Kramer 1993, Proc. Int. Wigner Symposium, Oxford
J E Humphreys 1990, Reflection Groups and Coxeter Groups, Cambridge University Press
P Kramer 1993, Anales de Fisica, Monografias 1 vol.2, 370–3, Madrid
P Kramer 1993, J Phys A26 213–228
P Kramer 1993, J Phys Lett A26 L245–L250
P Kramer 1994, J Phys. A27 2011–22
P Kramer 1994, Generators and subgroups for Aut(F 3 ), submitted for publidation
P Kramer 1994, Non-commutative geometry for quasicrystals, submitted for publication
W Magnus, A Karras and D Solitar 1976, Combinatorial Group Theory, Dover, New York
J Nielsen 1924, Math. Ann. 91 169–209
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© 1995 Springer Science+Business Media New York
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Kramer, P. (1995). Geometry of Automorphisms for Free Groups. In: Gruber, B. (eds) Symmetries in Science VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1915-7_21
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DOI: https://doi.org/10.1007/978-1-4615-1915-7_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5783-4
Online ISBN: 978-1-4615-1915-7
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