Harish Kishnani

activity

20222026

most citedAlternating groups as products of cycle classes

2 citations · 2 across the 10 of their papers we have counts for

collaborators

10 papers

math.GR2026

On Conjugacy Classes of Derangements in Symmetric and Alternating Groups

Harish Kishnani, Rijubrata Kundu

In this article, we prove two conjectures of Burness and Fusari [Timothy Burness and Marco Fusari, On derangements in simple permutation groups, Forum Math. Sigma 13 (2025)] concer…

math.RA2026

Waring Problem for matrices over finite local rings

Ram Karan Choudhary, Harish Kishnani, Anupam Singh

This paper addresses the matrix Waring problem for matrices over finite principal local rings. Let $O_{ℓ}$ be a finite principal local ring of length $ℓ$ with the m…

math.RA2026

Images of Lie Polynomials on simple Lie algebras

Harish Kishnani, Anupam Singh

A Lie polynomial is an element of a free Lie algebra $F_{k}$ on $k$ -generators, which defines a Lie map on a given Lie algebra $L$ , by substituting $k$ -elements of $L$ . Simi…

math.CO2025

Defects in weighted graphs and Commutators

Harish Kishnani, Amit Kulshrestha

Let $R$ be a commutative ring. In \cite{KK_2025(1)}, the authors introduced $R$ -weighted graphs as a tool for studying commutators in groups and Lie algebras. These graphs are equi…

math.CO2025

$R$ -weighted graphs and commutators

Harish Kishnani, Amit Kulshrestha

In this article, we introduce balance equations over commutative rings $R$ and associate $R$ -weighted graphs to them so that solving balance equations corresponds to a consistent l…

math.GR2023

Automorphic word maps and Amit--Ashurst conjecture

Harish Kishnani, Amit Kulshrestha

In this article, we address Amit--Ashurst conjecture on lower bounds of a probability distribution associated to a word on a finite nilpotent group. We obtain an extension of a res…

math.GR2023

Products of conjugacy classes in $SL_{2} (k)$ and $PSL_{2} (k)$

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Let $k$ be a field with $u$ -invariant $\leq 2$ . Assume further that $k$ is not quadratically closed, $char (k) \neq = 2$ and $∣ k ∣ \geq 5$ . It is known that the covering number o…

math.CO2022

Alternating groups as products of cycle classes - II

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Given integers $k, l \geq 2$ , where either $l$ is odd or $k$ is even, let $n (k, l)$ denote the largest integer $n$ such that each element of $A_{n}$ is a product of $k$ many $l$ -cycles.…

math.CO2022★ 2 cited

Alternating groups as products of cycle classes

Harish Kishnani, Rijubrata Kundu, Sumit Chandra Mishra

Given integers $k, l \geq 2$ , where either $l$ is odd or $k$ is even, let $n (k, l)$ denote the largest integer $n$ such that each element of $A_{n}$ is a product of $k$ many $l$ -cycles.…

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…

On Conjugacy Classes of Derangements in Symmetric and Alternating Groups

Waring Problem for matrices over finite local rings

Images of Lie Polynomials on simple Lie algebras

Defects in weighted graphs and Commutators

R-weighted graphs and commutators

Automorphic word maps and Amit--Ashurst conjecture

Products of conjugacy classes in SL2​(k) and PSL2​(k)

Alternating groups as products of cycle classes - II

Alternating groups as products of cycle classes

Word Images and Their Impostors in Finite Nilpotent Groups

$R$ -weighted graphs and commutators

Products of conjugacy classes in $SL_{2} (k)$ and $PSL_{2} (k)$