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…
Hayashi property for conjugation quandles over finite Coxeter groups
Dilpreet Kaur, Uday Bhaskar Sharma, Pushpendra Singh
In this article, we show that for all finite irreducible Coxeter groups with a conjugation closed subset , the conjugation quandle satisfies the Hayashi pro…
On Codes in (Generalized) Symmetric Groups
Subrata Barman, Pushpendra Singh
In this article, we show that, for the symmetric group , the Young subgroup , with , is not a code with respect to a conjugacy class of . This provides a…
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…