Cover Image

The NTH commutativity degree of some 2-engel groups

Suppose x and y are elements of a group G. The commutativity degree of a group G is defined as the total number of pair (x, y) for which x and y commute divided by the total number of pair (x, y) which is possible. Moreover, the nth commutativity degree of a group G is the total number of pair (x, y...

Full description

Saved in:
Bibliographic Details
Main Authors: Yahya, Z., Mohd. Ali, N. M., Sarmin, N. H., Johari, N. A.
Format: Conference or Workshop Item
Published: 2013
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/51363/
http://dx.doi.org/10.1063/1.4801225
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.utm.51363
record_format eprints
spelling my.utm.513632017-09-18T01:43:37Z http://eprints.utm.my/id/eprint/51363/ The NTH commutativity degree of some 2-engel groups Yahya, Z. Mohd. Ali, N. M. Sarmin, N. H. Johari, N. A. Q Science Suppose x and y are elements of a group G. The commutativity degree of a group G is defined as the total number of pair (x, y) for which x and y commute divided by the total number of pair (x, y) which is possible. Moreover, the nth commutativity degree of a group G is the total number of pair (x, y) for which xn and y commute divided by the total number of (x, y) which is possible. In this research, all 2-Engel groups of order at most 25 are first determined. Then, the nth commutativity degree of those groups are computed. 2013 Conference or Workshop Item PeerReviewed Yahya, Z. and Mohd. Ali, N. M. and Sarmin, N. H. and Johari, N. A. (2013) The NTH commutativity degree of some 2-engel groups. 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. http://dx.doi.org/10.1063/1.4801225
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
spellingShingle Q Science
Yahya, Z.
Mohd. Ali, N. M.
Sarmin, N. H.
Johari, N. A.
The NTH commutativity degree of some 2-engel groups
description Suppose x and y are elements of a group G. The commutativity degree of a group G is defined as the total number of pair (x, y) for which x and y commute divided by the total number of pair (x, y) which is possible. Moreover, the nth commutativity degree of a group G is the total number of pair (x, y) for which xn and y commute divided by the total number of (x, y) which is possible. In this research, all 2-Engel groups of order at most 25 are first determined. Then, the nth commutativity degree of those groups are computed.
format Conference or Workshop Item
author Yahya, Z.
Mohd. Ali, N. M.
Sarmin, N. H.
Johari, N. A.
author_facet Yahya, Z.
Mohd. Ali, N. M.
Sarmin, N. H.
Johari, N. A.
author_sort Yahya, Z.
title The NTH commutativity degree of some 2-engel groups
title_short The NTH commutativity degree of some 2-engel groups
title_full The NTH commutativity degree of some 2-engel groups
title_fullStr The NTH commutativity degree of some 2-engel groups
title_full_unstemmed The NTH commutativity degree of some 2-engel groups
title_sort nth commutativity degree of some 2-engel groups
publishDate 2013
url http://eprints.utm.my/id/eprint/51363/
http://dx.doi.org/10.1063/1.4801225
_version_ 1643653018291273728
score 13.160551

Similar Items