Sumana Hatui

activity

20162026

p

-Groups of Order

p^{5}

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

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5 papers · 1 filter

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.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.RT2023

On Projective representations of direct product of groups

Sumana Hatui

Let $G = G_{1} \times G_{2}$ be a finite group. We know that the second cohomology group $H^{2} (G, C^{\times})$ is isomorphic to $H^2(G_1,\mathbb C^\times) \times H^2(G_2,\mathbb C^\t…

math.RT2020★ 1 cited

On Projective Representations of Finitely Generated Groups

Sumana Hatui, E. K. Narayanan, Pooja Singla

We prove a characterization of monomial projective representations of finitely generated nilpotent groups. We also characterize polycyclic groups whose projective representations a…