Zamri, S. N. A. and Sarmin, N. H. and Omer, S. M. S. (2016) The probability that an element of a metacylic 3-group fixes a set of size three. In: 7th SEAMS UGM International Conference on Mathematics and Its Applications: Enhancing the Role of Mathematics in Interdisciplinary Research, 18 - 21 Aug 2015, Yogyakarta, Indonesia.
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Abstract
Let G be a metacylic 3-group of negative type of nilpotency class at least three. In this paper, Ω is a set of all subsets of all commuting elements of G of size three in the form of (a,b), where a and b commute. The probability that an element of a group G fixes a set Ω is one of extensions of the commutativity degree that can be obtained under group action on set. This probability is the ratio of the number of orbits to the order of Ω. In this paper, the probability that an element of a group G fixes a set Ω is computed by using conjugate action.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | commutativity degree, conjugate action, metacyclic 3-group |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 73426 |
| Deposited By: | Mohd Zulaihi Zainudin |
| Deposited On: | 20 Nov 2017 08:43 |
| Last Modified: | 20 Nov 2017 08:43 |
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