Mohamad Maassarani

collaborators

9 papers

math.GR2026

Isoclinic groups and conjugacy quandles

Mohamad Maassarani

We show that two finite isoclinic groups of the same order have isomorphic conjugacy quandles. We also show that the converse hold under some assumptions on the groups. It happens…

math.GR2026

Symmetric 2-cocycles with values in $C^{\times}$

Mohamad Maassarani

For many finite groups a symmetric $2$ -cocycle $I^\pm$ ( $I^\pm (g, h) = I^\pm (h, g)$ , for all pairs $(h, g)$ of the group) with values in $C^{\times}$ is a coboundary. We show using a theo…

math.RT2026

On quandle representations

Mohamad Maassarani

A unitary finite dimensional quandle representation is decomposable into a direct sum of irreducible represenations. Not all quandle representations satisfy this property. We prove…

math.RT2026

On irreducible representations of conjugacy quandles

Mohamad Maassarani

For $G$ a finite group, one way to construct irreducible quandle representations over $C$ of the conjugacy quandle $C o nj (G)$ is by taking the product of an irreducible lin…

math.RT2026

On irreducible representations of quandles

Mohamad Maassarani

We consider irreducible representations of finite quandles over $C$ . For $Q$ a finite quandle whose inner automorphism group $I nn (Q)$ have trivial Schur multipliers, we pr…

math.GR2026

Groups and quandles

Mohamad Maassarani

We are intereseted in quandles and their enveloping groups. Various results are proven. We show that a quandle $Q$ and its image in the enveloping group $G (Q)$ have isomorphic enve…

Isoclinic groups and conjugacy quandles

Symmetric 2-cocycles with values in C×

On quandle representations

On irreducible representations of conjugacy quandles

On irreducible representations of quandles

Groups and quandles

Symmetric 2-cocycles with values in $C^{\times}$