# Schur multipliers of special p-groups of rank 2

## TL;DR

This paper explicitly determines the Schur multiplier for special p-groups of rank 2, which are groups with specific elementary abelian p-group properties related to their center and commutator subgroup.

## Contribution

It provides an explicit calculation of the Schur multiplier for a specific class of special p-groups of rank 2, advancing understanding of their structure.

## Key findings

- Explicit formulas for Schur multipliers of rank 2 special p-groups
- Enhanced understanding of the structure of these groups
- Potential applications in group cohomology and classification

## Abstract

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 elementary abelian p-group. In this article we determine the Schur multiplier of special p-groups of rank 2 explicitly.