arXiv subjects

Bernd Gemein

Publications and source records attributed to Bernd Gemein.

2 recordsLinked to original sources

arXiv1998

The Word Problem for the Singular Braid Monoid

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 singular generators in the word. Furthermore we algebraically reprove a result of Fenn, Keyman and Rourke that the monoid embeds into a group and we compute the cohomological dimension of this group.

math.GT↗

arXiv1998

A Faithful Representation of the Singular Braid Monoid on Three Strands

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 to the word problem in this monoid.

math.GT↗