On a Conjecture of a Bound for the Exponent of the Schur Multiplier of a Finite $p$-Group

Berooz Mashayekhy, Azam Hokmabadi, Fahimeh Mohammadzadeh

Let $G$ be a $p$-group of nilpotency class $k$ with finite exponent $\exp (G)$ and let $m=\lfloor {\log }_{p}k\rfloor$. We show that $\exp (M^{(c)}(G))$ divides $\exp (G)p^{m(k-1)}$, for al…