The exterior degree of a pair of finite groups
Abstract
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 g n=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.
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