فهرست نشریات علمی دسترسی آزاد ایران

Let (N;G) be a pair of non-abelian finite p-groups and K be a normal subgroup of G such that G = N \times K, where K is a d-generator group of order pm. Moreover, let |N| = p^n and {N'| = p^k. Then |M(N;G)|= p^{1/2 (n-1)(n-2)+1+(n-1)m-s'}, where M(N;G) is the Schur multiplier of the pair (N;G) and s0 is a non-negative integer. In this paper, the non-abelian pairs (N;G) for s0 = 0; 1; 2; 3 are characterized.