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Abstract: Inverse braid monoid describes a structure on braids where the number ofstrings is not fixed. So, some strings of initial $n$ may be deleted. In thepaper we show that many properties and objects based on braid groups may beextended to the inverse braid monoids. Namely we prove an inclusion into amonoid of partial monomorphisms of a free group. This gives a solution of theword problem. Another solution is obtained by an approach similar to that ofGarside. We give also the analogues of Artin presentation with two generatorsand Sergiescu graph-presentations.



Autor: Vladimir V. Vershinin

Fuente: https://arxiv.org/







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