Sumana Hatui

most citedA characterization of finite

p

-groups by their Schur multiplier

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2022

Projective representations of Heisenberg groups over the rings of order p^2

Sumana Hatui, E. K. Narayanan, Pooja Singla

In this article we describe the 2-cocycles, Schur multiplier and representation group of discrete Heisenberg groups over the unital rings of order $p^{2}$ . We describe all projective…

math.GR2016★ 1 cited

Finite $p$ -groups having Schur multiplier of maximum order

Sumana Hatui

Let $G$ be a non-abelian $p$ -group of order $p^{n}$ and $M (G)$ denote the Schur multiplier of $G$ . Niroomand proved that $∣ M (G) ∣ \leq p^{\frac{1}{2} (n + k - 2) (n - k - 1) + 1}$ for non-abelian…

math.GR2016★ 3 cited

A characterization of finite $p$ -groups by their Schur multiplier

Sumana Hatui

Let $G$ be a finite $p$ -group of order $p^{n}$ and $M (G)$ be its Schur multiplier. It is well known result by Green that $∣ M (G) ∣ = p^{\frac{1}{2} n (n - 1) - t (G)}$ for some $t (G) \geq 0$ .…

Projective representations of Heisenberg groups over the rings of order p^2

Finite p-groups having Schur multiplier of maximum order

A characterization of finite p-groups by their Schur multiplier

Finite $p$ -groups having Schur multiplier of maximum order

A characterization of finite $p$ -groups by their Schur multiplier