Dilpreet Kaur

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20242026

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math.GR2026

Commuting graph of non-abelian groups of order $p^{n}$ with center having $p^{n - 2}$ elements

Dilpreet Kaur, Gaurav Kumar, Shivam Tiwari

Let $G$ be a group. The commuting graph $ζ (G, V)$ of a group $G$ has a vertex set $V \subseteq G,$ two vertices are connected with an edge if the corresponding elements commute in $…

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]…

Commuting graph of non-abelian groups of order pn with center having pn−2 elements

Classification of simple quandles of small order

Tensor product and quandle rings of connected quandles of prime order

Commuting graph of non-abelian groups of order $p^{n}$ with center having $p^{n - 2}$ elements