Some results on schur multiplier of pairs of groups

Document Type : Original Article


Department of mathematics, Islamic Azad university, Neyshabour branch, Mashhad, Iran


In this paper , we study the concept of the c-nilpotent multiplier of a pair of groups and prove that the c-nilpotent multipliers of perfect pairs of groups are isomorphic .Also, we prove an inequality for the order of the Schur multiplier of a pair of groups