Sonakshee Arora

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20242026

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math.GR2026

Vanishing elements of prime power order and their class size property

Sonakshee Arora, Rahul Dattatraya Kitture

Study of the structure of groups by variation in the arithmetic conditions on conjugacy classes and character degrees has produced several interesting results and open problems. In…

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…

math.GR2024

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 $Γ_{C C C} (G)$ (resp. $Γ_{N C C} (G)$ ) of $G$ is a simple graph whose vertex set consists of all non-cen…