Schur multipliers of special 𝑝-groups of rank 2

Abstract

Abstract Let G be a special p-group with center of order p 2 {p^{2}} . Berkovich and Janko asked to find the Schur multiplier of G in [Y. Berkovich and Z. Janko, Groups of Prime Power Order. Volume 3, De Gruyter Exp. Math. 56, Walter de Gruyter, Berlin, 2011; Problem 2027]. In this article, we answer this question by explicitly computing the Schur multiplier of these groups.