Some Inequalities for the Order of the Schur Multiplier of a Pair of Groups

On the Order of the Schur Multiplier of a Pair of Finite p-Groups

“…In fact, there is an isomorphism M (G) ∼ = M (G, N ) × M (K) (see [2, page 356]). Recently, some results have been given about the Schur multiplier of a pair of groups (G, N ) when G is a semidirect product of N by a complement K (see [7,8,11,12]).…”