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arXiv · 1710.05416

On the virtual singular braid monoid

Carmen Caprau·Sarah Zepeda
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Abstract

We study the algebraic structures of the virtual singular braid monoid, $VSB_n$, and the virtual singular pure braid monoid, $VSP_n$. The monoid $VSB_n$ is the splittable extension of $VSP_n$ by the symmetric group $S_n$. We also construct a representation of $VSB_n$.

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Carmen Caprau, Sarah Zepeda. 2019-06-07. On the virtual singular braid monoid. https://doi.org/10.1142/s0218216521410029

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