Pushpendra Singh

activity

20222026

collaborators

7 papers

math.RA2026

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…

math.GR2026

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 $G$ with a conjugation closed subset $C$ , the conjugation quandle $Conj (G, C)$ satisfies the Hayashi pro…

math.GR2026

On Codes in (Generalized) Symmetric Groups

Subrata Barman, Pushpendra Singh

In this article, we show that, for the symmetric group $S_{n}$ , the Young subgroup $S_{λ}$ , with $l (λ) \geq 3$ , is not a code with respect to a conjugacy class of $S_{n}$ . This provides a…

math.GR2025

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…

math.GR2024

Tensor product and quandle rings of connected quandles of prime order

Dilpreet Kaur, Pushpendra Singh

Let $C$ be field of complex numbers and $X$ be a connected quandle of prime order. We study the regular representation of $X$ by describing the quandle ring $\mathbb{C}[X]…

math.GR2023

Decomposition of quandle rings of Takasaki quandles

Dilpreet Kaur, Pushpendra Singh

Let $K = R$ or $C$ and $T_{n}$ denote the Takasaki quandle of order $n$ . In this article we provide decomposition of quandle ring $K [T_{n}]$ as direct sum of right…

math.GR2022

Decomposition of quandle rings of dihedral quandles

Dilpreet Kaur, Pushpendra Singh

Let $K = R$ or $C$ and $R_{n}$ be the dihedral quandle of order $n$ : In this article, we give decomposition of the quandle ring $K [R_{n}]$ into indeco…