On the Exponent of the Schur multiplier of a Pair of Finite $p$-Groups

Fahimeh Mohammadzadeh, Azam Hokmabadi, Behrooz Mashayekhy

In this paper, we find an upper bound for the exponent of the Schur multiplier of a pair $(G,N)$ of finite $p$-groups, when $N$ admits a complement in $G$. As a consequence, we sho…