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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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Main Authors: Zamri, S. N. A., Sarmin, N. H., Omer, S. M. S.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2016
Subjects:
QA Mathematics
Online Access: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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spelling 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
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle 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
_version_ 1643656658647252992
score 13.159267

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