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The exterior degree of symmetric group of order six

Nawi, A. A. B. and Mohd. Ali, N. M. and Sarmin, N. H. (2013) The exterior degree of symmetric group of order six. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, Pts A And B.

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Official URL: http://dx.doi.org/10.1063/1.4801210

Abstract

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.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:symmetric
Subjects:Q Science
Divisions:Science
ID Code:51358
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:18 Sep 2017 09:41

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