Abstract
A subgroup of the automorphism group of the free group is considered. This is the automorphism group of the free quandle. Various properties are demonstrated. A set of generators is given and also set of relations which show the close connection with both the classical braid and permutation groups. The elements of this group are picturedas braids generalised to allow some crossings to be “welded”.
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References
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© 1993 Springer Science+Business Media Dordrecht
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Fenn, R., Rimányi, R., Rourke, C. (1993). Some Remarks on the Braid-Permutation Group. In: Bozhüyük, M.E. (eds) Topics in Knot Theory. NATO ASI Series, vol 399. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1695-4_5
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DOI: https://doi.org/10.1007/978-94-011-1695-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4742-5
Online ISBN: 978-94-011-1695-4
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