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math.GT1998
The Word Problem for the Singular Braid Monoid
Oliver T. Dasbach, Bernd Gemein
We give a solution to the word problem for the singular braid monoid SB_n. The complexity of the algorithm is quadratic in the product of the word length and the number of the sing…
math.GT1998
A Faithful Representation of the Singular Braid Monoid on Three Strands
Oliver T. Dasbach, Bernd Gemein
We show that a certain linear representation of the singular braid monoid on three strands is faithful. Furthermore we will give a second - group theoretically motivated - solution…