4 papers
A note on idempotents in quandle rings
Dilpreet Kaur, Pushpendra Singh
It was conjectured that the nonzero idempotents of the integral quandle ring of a finite latin quandle are trivial. We prove this holds for latin dihedral quandles. Furthermore, we…
Commuting graph of non-abelian groups of order with center having elements
Dilpreet Kaur, Gaurav Kumar, Shivam Tiwari
Let be a group. The commuting graph of a group has a vertex set two vertices are connected with an edge if the corresponding elements commute in $…
Classification of simple quandles of small order
Dilpreet Kaur, Pushpendra Singh
In this article, we define quasiprimitive quandles and describe them with the help of quasiprimitive permutation groups. As a consequence, we enumerate finite non-affine simple qua…
Tensor product and quandle rings of connected quandles of prime order
Dilpreet Kaur, Pushpendra Singh
Let be field of complex numbers and be a connected quandle of prime order. We study the regular representation of by describing the quandle ring $\mathbb{C}[X]…