Sonakshee Arora

works on

character theory 1 conjugacy class sizes 1 finite groups 1 solvable groups 1 vanishing elements 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.GR2026

Vanishing elements of prime power order and their class size property

Sonakshee Arora, Rahul Dattatraya Kitture

The paper introduces a vanishing analogue of a known class-size property for finite groups, studies when groups satisfy this property Pv(p,q), proves that no finite simple group do…

math.GR2025

Forbidden subgraphs on conjugacy class graphs of groups

Papi Ray, Sonakshee Arora, Xuanlong Ma

Let $G$ be a finite group. The commuting (resp. nilpotent) conjugacy class graph $I^_{C C C} (G)$ (resp. $I^_{N C C} (G)$ ) of $G$ is a simple graph whose vertex set consists of all non-c…

math.GR2025

Vanishing Elements of Prime Power Order

Sonakshee Arora, Rahul Dattatraya Kitture

An element $x$ in a finite group $G$ is said to be \textit{vanishing} if some (complex) irreducible character of $G$ takes value $0$ at $x$ . In this article, we prove that every no…