The exterior degree of symmetric group of order six

• Main Authors: Nawi, A. A. B., Mohd. Ali, N. M., Sarmin, N. H.
• Format: Conference or Workshop Item
• Published: 2013
• Subjects: Q Science
• Online Access: http://eprints.utm.my/id/eprint/51358/; http://dx.doi.org/10.1063/1.4801210

The idea to compute the exterior degree of a finite group G started in 2011. The exterior degree of a group is the probability that two randomly selected elements x and y in the group such that x ∧ y = 1 and denoted as P̂(G). However, in order to examine the exterior degree of a finite group, the nonabelian tensor square and some homological functors of the group must first be explored and determined. The homological functors that are used in determining the exterior degree of G are ∇(G) and the exterior square of G. In this research, the nonabelian tensor square, ∇(G) and the exterior square of symmetric group of order six are determined. Then, the exterior degree of symmetric group of order six is computed.