Sumana Hatui

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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.GR2024

On the Twisted Group Ring Isomorphism Problem for a class of groups

Sumana Hatui, Gurleen Kaur, Sahanawaj Sabnam

The twisted group ring isomorphism problem (TGRIP) is a variation of the classical group ring isomorphism problem. It asks whether the ring structure of the twisted group ring dete…

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

On the deep commuting graph of a finite group

Finite groups with nearly half as many cyclic subgroups as elements

On the Twisted Group Ring Isomorphism Problem for a class of groups

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