A note on the order of the Schur multiplier of p-groups

Pradeep K. Rai

Let $G$ be a finite $p$-group of order $p^n$ with $|G^{\prime }|=p^k$. Let $M(G)$ denotes the Schur multiplier of $G$. A classical result of Green states that $|M(G)| \leq p^{\frac{1}{2}n…