P. Niroomand , R. Rezaei
Mediterr. J. Math. - 10, , 1195-1206 - October, 2013 - .
Publication year: 2013

The exterior degree of a pair of finite groups (G,N), which is a generalization of the exterior degree of finite groups, is the probability for two elements (g,n) in (G,N) such that gn=1. In the present paper, we state some relations between this concept and the relative commutatively degree, capability and the Schur multiplier of a pair of groups.