Sumana Hatui

activity

20162026

p

-Groups of Order

p^{5}

8 citations · 25 across the 17 of their papers we have counts for

collaborators

18 papers

math.RT2026

On the Twisted Group Ring Isomorphism Problem for isoclinic groups

Sumana Hatui, Sahanawaj Sabnam

In this article, we consider a general version of the classical group ring isomorphism problem, called the twisted group ring isomorphism problem (TGRIP), which determines an isomo…

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 $α$ 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 $Δ_{D} (G)$ of $G$ is a simple graph with vertex set $G$ , where two distinct vertices a…

math.RT2025

On Projective Representations of Special p-groups

Sumana Hatui

Let $G$ be a special $p$ -group. If $G$ is of rank two, or $G$ is of maximum rank with $∣ G^{p} ∣ \leq p$ , then we describe the complex irreducible projective representations of $G$ .

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…