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

Abstract

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 $t(G)\ge 0$. In this article we classify non-abelian $p$-groups $G$ of order $p^n$ for $t(G)={\log }_p(|G|)+1$.

Accepted in Proc. Indian Acad. Sci. Math. Sci

References in corpus (1)

• Classifying $p$-groups via their multiplier

Cited by in corpus (1)

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