Sumana Hatui

collaborators

5 papers

math.RT2026

On the Faithful Projective Representations of Finite Groups and their Minimal Dimension

Sumana Hatui, Poonam Nayak

The first part of this article is devoted to characterizing the cocycles $I^\pm$ of a finite group $G$ that give rise to faithful projective representations of $G$ . We prove that a $p…

math.GR2026

On the Schur multiplier of $p$ -groups with abelianization $s$ -elementary abelian

Sumana Hatui, Tony Nixon Mavely, Sahanawaj Sabnam

Let $p$ be an odd prime. We describe a method to compute the Schur multiplier of finite $p$ -groups $G$ of nilpotency class $2$ such that $G / [G, G]$ is isomorphic to direct product o…

math.GR2025

On the deep commuting graph of a finite group

Sumana Hatui, Sanjay Mukherjee, Kamal Lochan Patra

Let $G$ be a finite group and let $G ~$ be a Schur cover of $G$ . The deep commuting graph $I^_{D} (G)$ of $G$ is a simple graph with vertex set $G$ , where two distinct vertices…

math.GR2025

Finite groups with nearly half as many cyclic subgroups as elements

Vaibhav Chhajer, Sumana Hatui, Palash Sharma

Suppose $C (G)$ denotes the set of all cyclic subgroups of a finite group $G$ , and $O_{2} (G)$ denotes the number of elements of order $2$ in $G$ . In [Marius T., Finite gro…

math.RT2025

On Projective Representations of Special p-groups