Peyman Niroomand , Rashid Rezaei
Comm. Algebra - 3, 39, 335-343. - March, 2011 - .
Publication year: 2011


We introduce the exterior degree of a finite group G to be the probability for two elements g and g′ in G such that g g′ = 1, and we shall state some results concerning this concept. We show that if G is a non-abelian capable group, then its exterior degree is less than 1/p, where p is the smallest prime number dividing the order of G. Finally, we give some relations between the new concept and commutativity degree, capability, and the Schur multiplier.