Harish Kishnani

collaborators

5 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…