On nth commutativity degree of some 3-Engel groups

This paper focuses on some 3-Engel groups. Suppose x and y are elements of a group G. The commutativity degree of a group is the probability that two elements in the group commute and is denoted by P(G). Meanwhile, the n th commutativity degree of a group G is the probability that for any pairs of x...

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Main Authors: Yahya, Zainab, Mohd. Ali, Nor Muhainiah, Sarmin, Nor Haniza, Sabani, Muhammad Syafiq, Zakaria, Mardhiah
Format: Conference or Workshop Item
Published: 2012
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Online Access:http://eprints.utm.my/id/eprint/43687/
http://dx.doi.org/10.1063/1.4801240
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spelling my.utm.436872020-12-24T06:50:22Z http://eprints.utm.my/id/eprint/43687/ On nth commutativity degree of some 3-Engel groups Yahya, Zainab Mohd. Ali, Nor Muhainiah Sarmin, Nor Haniza Sabani, Muhammad Syafiq Zakaria, Mardhiah Q Science (General) This paper focuses on some 3-Engel groups. Suppose x and y are elements of a group G. The commutativity degree of a group is the probability that two elements in the group commute and is denoted by P(G). Meanwhile, the n th commutativity degree of a group G is the probability that for any pairs of x and y in G, xn and y commute. In this paper, the n th commutativity degree of some 3-Engel groups is determined 2012-12 Conference or Workshop Item PeerReviewed Yahya, Zainab and Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza and Sabani, Muhammad Syafiq and Zakaria, Mardhiah (2012) On nth commutativity degree of some 3-Engel groups. In: Simposium Kebangsaan Sains Matematik ke 20 (SKSM 20) 2012, 18-20 December, 2012, Putrajaya, Malaysia. http://dx.doi.org/10.1063/1.4801240
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 Q Science (General)
spellingShingle Q Science (General)
Yahya, Zainab
Mohd. Ali, Nor Muhainiah
Sarmin, Nor Haniza
Sabani, Muhammad Syafiq
Zakaria, Mardhiah
On nth commutativity degree of some 3-Engel groups
description This paper focuses on some 3-Engel groups. Suppose x and y are elements of a group G. The commutativity degree of a group is the probability that two elements in the group commute and is denoted by P(G). Meanwhile, the n th commutativity degree of a group G is the probability that for any pairs of x and y in G, xn and y commute. In this paper, the n th commutativity degree of some 3-Engel groups is determined
format Conference or Workshop Item
author Yahya, Zainab
Mohd. Ali, Nor Muhainiah
Sarmin, Nor Haniza
Sabani, Muhammad Syafiq
Zakaria, Mardhiah
author_facet Yahya, Zainab
Mohd. Ali, Nor Muhainiah
Sarmin, Nor Haniza
Sabani, Muhammad Syafiq
Zakaria, Mardhiah
author_sort Yahya, Zainab
title On nth commutativity degree of some 3-Engel groups
title_short On nth commutativity degree of some 3-Engel groups
title_full On nth commutativity degree of some 3-Engel groups
title_fullStr On nth commutativity degree of some 3-Engel groups
title_full_unstemmed On nth commutativity degree of some 3-Engel groups
title_sort on nth commutativity degree of some 3-engel groups
publishDate 2012
url http://eprints.utm.my/id/eprint/43687/
http://dx.doi.org/10.1063/1.4801240
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