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Quandles with isomorphic representation categories
Mohamad Maassarani
We give two types of examples where two non isomorphic finite quandles have isomorphic enveloping groups. This implies that two non-isomorphic finite quandles can share isomorphic…
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…
Symmetric 2-cocycles with values in
Mohamad Maassarani
For many finite groups a symmetric -cocycle (, for all pairs of the group) with values in is a coboundary. We show using a theoret…
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…
On irreducible representations of conjugacy quandles
Mohamad Maassarani
For a finite group, one way to construct irreducible quandle representations over of the conjugacy quandle is by taking the product of an irreducible lin…
On irreducible representations of quandles
Mohamad Maassarani
We consider irreducible representations of finite quandles over . For a finite quandle whose inner automorphism group have trivial Schur multipliers, we pr…
Groups and quandles
Mohamad Maassarani
We are intereseted in quandles and their enveloping groups. Various results are proven. We show that a quandle and its image in the enveloping group have isomorphic enve…
Homology of degenerate real projective quadrics
Mohamad Maassarani
Homology of non degenerate real projective quadrics was studied by Steenrod and Tucker. We Compute the rational and the homology of degenerate real project…