M. N. Nasser

activity

20202026

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Showing 2026 · math.RTShow all

5 papers · 2 filters

math.RT2026

On the structure of the singular triplet monoid and its virtual extension

Carmen Caprau, Mohamad N. Nasser

In this article, we introduce two new algebraic structures associated with the triplet group on $n$ strands, $L_{n}$ : the singular triplet monoid $S L M_{n}$ and its virtual extension $V…

math.RT2026

Multi-welded twin groups

Mohamad N. Nasser, Oscar Ocampo

For $k \geq 1$ and $n \geq 2$ , we introduce the multi-welded twin group $M_{k} W T_{n}$ , a natural welded analogue of the multi-virtual twin group. We show that $M_{k} W T_{n}$ arises naturally…

math.RT2026

On Universal Virtual and Welded Braid Groups and Their Linear Representations

Mohamad N. Nasser, Oscar Ocampo

We introduce linear representations of the universal virtual braid group $U V_{n} (c)$ , where $n \geq 2$ and $c \geq 1$ , which is a unifying framework for braid-type groups with multiple…

math.RT2026

On representations of the triplet group and some of its extensions

Mohamad N. Nasser, Nafaa Chbili, Khaled Qazaqzeh

In this paper, we study the representations of the triplet group $L_{n}$ , where $n$ is a positive integer, together with their extensions to the virtual and welded triplet groups $VL…

math.RT2026

The virtual singular twin monoid and group: presentations and representations

Carmen Caprau, Mohamad N. Nasser

In this article, we introduce the algebraic definitions and presentations of the virtual singular twin monoid and virtual singular twin group, denoted by $V S T M_{n}$ and $V S T_{n}$ , resp…