Classification of p-groups by their Schur multiplier

Abstract

Let $G$ be a non-abelian $p$-group of order $p^n$ and $M(G)$ be its Schur multiplier. It is well known result by Green that $|M(G)|\le p^{\frac{1}{2}n(n-1)}$. So $|M(G)|=p^{\frac{1}{2}n(n-1)-t(G)}$ for some $t(G)\ge 0$. The groups has already been classified for $t(G)\le 5$ by several authors. For $t(G)=6$ the classification has been done. In this paper we classify $p$-groups $G$ for $t(G)=6$ in different method.

8 pages

Cited by in corpus (2)

• A characterization of finite $p$-groups by their Schur multiplier
• Finite $p$-groups having Schur multiplier of maximum order