Dilpreet Kaur

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20242026

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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

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 $…

A note on idempotents in quandle rings

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

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