R. Kitture

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20162026

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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.GR2017

Finite $p$ -Groups of Nilpotency Class $3$ with Two Conjugacy Class Sizes

Tushar Kanta Naik, Rahul Dattatraya Kitture, Manoj K. Yadav

It is proved that, for a prime $p > 2$ and integer $n \geq 1$ , finite $p$ -groups of nilpotency class $3$ and having only two conjugacy class sizes $1$ and $p^{n}$ exist if and only if $…

math.GR2017

Finite Groups with Abelian Automorphism Groups: A Survey

Rahul Dattatraya Kitture, Manoj K. Yadav

In this article we present an extensive survey on the developments in the theory of non-abelian finite groups with abelian automorphism groups, and pose some problems and further r…

math.GR2016

Note on Caranti's Method of Construction of Miller groups