In 1998, G. Ellis defined the Schur multiplier of a pair (G,N) of groups
and mentioned that this notion is a useful tool for studying pairs of groups.
In this paper, we characterize the structure of a pair of finite p-groups
(G,N) in terms of the order of the Schur multiplier of (G,N) under some
conditions.Comment: 11 pages, to appear in Journal of Advanced Research in Pure
Mathematic