4 papers · 1 filter
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 . We describe all projective…
On Schur multiplier and projective representations of Heisenberg groups
Sumana Hatui, Pooja Singla
In this article, we study the Schur mutiplier of the discrete as well as the finite Heisenberg groups and their t-variants. We describe the representation groups of these Heisenber…
Schur multipliers of special p-groups of rank 2
Sumana Hatui
A group G is called special p-group of rank k if the commutator subgroup [G,G] and centre Z(G) are equal, which is elementary abelian p-group of rank k and G/[G,G] is also elementa…
The Schur Multipliers of -Groups of Order
Sumana Hatui, Vipul Kakkar, Manoj K. Yadav
In this article, we compute the Schur multiplier, non-abelian tensor square and exterior square of non-abelian -groups of order . As an application we determine the capabil…