The probability that an element of a metacylic 3-group fixes a set of size three
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...
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American Institute of Physics Inc.
2016
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my.utm.734262017-11-20T08:43:00Z http://eprints.utm.my/id/eprint/73426/ The probability that an element of a metacylic 3-group fixes a set of size three Zamri, S. N. A. Sarmin, N. H. Omer, S. M. S. QA Mathematics 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. American Institute of Physics Inc. 2016 Conference or Workshop Item PeerReviewed 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. https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984578376&doi=10.1063%2f1.4940828&partnerID=40&md5=37f57b7803a988761f220f2bedf156ba |
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QA Mathematics Zamri, S. N. A. Sarmin, N. H. Omer, S. M. S. The probability that an element of a metacylic 3-group fixes a set of size three |
| description |
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. |
| format |
Conference or Workshop Item |
| author |
Zamri, S. N. A. Sarmin, N. H. Omer, S. M. S. |
| author_facet |
Zamri, S. N. A. Sarmin, N. H. Omer, S. M. S. |
| author_sort |
Zamri, S. N. A. |
| title |
The probability that an element of a metacylic 3-group fixes a set of size three |
| title_short |
The probability that an element of a metacylic 3-group fixes a set of size three |
| title_full |
The probability that an element of a metacylic 3-group fixes a set of size three |
| title_fullStr |
The probability that an element of a metacylic 3-group fixes a set of size three |
| title_full_unstemmed |
The probability that an element of a metacylic 3-group fixes a set of size three |
| title_sort |
probability that an element of a metacylic 3-group fixes a set of size three |
| publisher |
American Institute of Physics Inc. |
| publishDate |
2016 |
| url |
http://eprints.utm.my/id/eprint/73426/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984578376&doi=10.1063%2f1.4940828&partnerID=40&md5=37f57b7803a988761f220f2bedf156ba |
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1643656658647252992 |
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13.250246 |