A general case of the commutativity degree of nilpotent p-groups of class two
Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. The commutativity degree can be considered as a special case of a more general probability which is the probability that the commutator...
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| Format: | Conference or Workshop Item |
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2013
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| _version_ | 1796859525667487744 |
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| author | Abd. Manaf, F. N. Sarmin, N. H. Mohd. Ali, N. M. Erfanian, A. Ghouchan, M. F. D. |
| author_facet | Abd. Manaf, F. N. Sarmin, N. H. Mohd. Ali, N. M. Erfanian, A. Ghouchan, M. F. D. |
| author_sort | Abd. Manaf, F. N. |
| collection | ePrints |
| description | Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. The commutativity degree can be considered as a special case of a more general probability which is the probability that the commutator of two group elements is equal to a given element in the group. This research focuses on the finite p-groups of nilpotency class two. Some basic concepts and results on the general case of the commutativity degree are presented. |
| first_indexed | 2024-03-05T19:28:27Z |
| format | Conference or Workshop Item |
| id | utm.eprints-50856 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:28:27Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | utm.eprints-508562017-09-14T06:48:42Z http://eprints.utm.my/50856/ A general case of the commutativity degree of nilpotent p-groups of class two Abd. Manaf, F. N. Sarmin, N. H. Mohd. Ali, N. M. Erfanian, A. Ghouchan, M. F. D. TK Electrical engineering. Electronics Nuclear engineering Given a finite group, the commutativity degree of the group is defined as the probability that two elements of the group, chosen randomly with replacement, commute. The commutativity degree can be considered as a special case of a more general probability which is the probability that the commutator of two group elements is equal to a given element in the group. This research focuses on the finite p-groups of nilpotency class two. Some basic concepts and results on the general case of the commutativity degree are presented. 2013 Conference or Workshop Item PeerReviewed Abd. Manaf, F. N. and Sarmin, N. H. and Mohd. Ali, N. M. and Erfanian, A. and Ghouchan, M. F. D. (2013) A general case of the commutativity degree of nilpotent p-groups of class two. 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/10.1063/1.4801212 |
| spellingShingle | TK Electrical engineering. Electronics Nuclear engineering Abd. Manaf, F. N. Sarmin, N. H. Mohd. Ali, N. M. Erfanian, A. Ghouchan, M. F. D. A general case of the commutativity degree of nilpotent p-groups of class two |
| title | A general case of the commutativity degree of nilpotent p-groups of class two |
| title_full | A general case of the commutativity degree of nilpotent p-groups of class two |
| title_fullStr | A general case of the commutativity degree of nilpotent p-groups of class two |
| title_full_unstemmed | A general case of the commutativity degree of nilpotent p-groups of class two |
| title_short | A general case of the commutativity degree of nilpotent p-groups of class two |
| title_sort | general case of the commutativity degree of nilpotent p groups of class two |
| topic | TK Electrical engineering. Electronics Nuclear engineering |
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