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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3 papers · 1 filter

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…