D. Kaur

activity

20122026

most citedSimultaneous Conjugacy Classes of Finite

p

-groups of rank

\leq 5

2 citations · 4 across the 11 of their papers we have counts for

collaborators

11 papers

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.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…

math.GR2022

Word Images and Their Impostors in Finite Nilpotent Groups

Dilpreet Kaur, Harish Kishnani, Amit Kulshrestha

It was shown by Lubotzky in 2014 that automorphism invariant subsets of finite simple groups which contain identity are always word images. In this article, we study word maps on f…

math.GR2021★ 2 cited

Simultaneous Conjugacy Classes of Finite $p$ -groups of rank $\leq 5$

Dilpreet Kaur, Sunil Kumar Prajapati, Amritanshu Prasad

For a finite group $G$ , we consider the problem of counting simultaneous conjugacy classes of $n$ -tuples and simultaneous conjugacy classes of commuting $n$ -tuples in $G$ . Let $α_{…

math.GR2020

Branching rules and commuting probabilities for Triangular and Unitriangular matrices

Dilpreet Kaur, Uday Bhaskar Sharma, Anupam Singh

This paper concerns the enumeration of simultaneous conjugacy classes of $k$ -tuples of commuting matrices in the upper triangular group $G T_{n} (F_{q})$ and unitriangular group…