The Exterior Degree of a Pair of Finite Groups

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 commutative...

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Veröffentlicht in:Mediterranean journal of mathematics 2013-08, Vol.10 (3), p.1195-1206
Hauptverfasser: Niroomand, Peyman, Rezaei, Rashid
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-013-0252-6