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Let (G, N) be a pair of groups in which N is a normal subgroup of G. Then, the Schur multiplier of pairs of groups (G, N), denoted by M (G, N), is an extension of the Schur multiplier of a group G, which is a functorial abelian group. In this research, the Schur multiplier of pairs of all groups of order p3q where p is an odd prime and p < q is determined.

The Schur multiplier of pairs of groups of order p3q