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Orderings on Braid Groups, Operations on Closed Braids, and Confirmation of Menasco's Conjectures

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Conditions are described that are necessary for certain operations on closed braids to be possible. Menasco's conjectures are proved as a consequence. Bibliography: 21 titles.

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Malyutin, A.V. Orderings on Braid Groups, Operations on Closed Braids, and Confirmation of Menasco's Conjectures. Journal of Mathematical Sciences 113, 822–826 (2003). https://doi.org/10.1023/A:1021291403512

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