The exterior degree of a pair of finite groups

Details The exterior degree of a pair of finite groups The exterior degree of a pair of finite groups

2011-01-22

arxiv.org/abs/1101.4312v2

Mathematics

Group Theory

Typo corrected, two examples and some references added

Scientific paper

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 $g\wedge n=1$. 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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