Harish Kishnani

collaborators

4 papers

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.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.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…

Defects in weighted graphs and Commutators

R-weighted graphs and commutators

Alternating groups as products of cycle classes - II

Word Images and Their Impostors in Finite Nilpotent Groups

$R$ -weighted graphs and commutators