Mohamad Maassarani

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20192026

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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 $α$ ( $α (g, h) = α (h, g)$ , for all pairs $(h, g)$ of the group) with values in $C^{\times}$ is a coboundary. We show using a theoret…

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×

Groups and quandles

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