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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2012
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| _version_ | 1796857529836240896 |
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| author | Sarmin, Nor Haniza |
| author_facet | Sarmin, Nor Haniza |
| author_sort | Sarmin, Nor Haniza |
| 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 | 2024-03-05T18:59:09Z |
| format | Conference or Workshop Item |
| id | utm.eprints-36323 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T18:59:09Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | utm.eprints-363232017-08-27T10:55:24Z http://eprints.utm.my/36323/ A general case of the commutativity degree of nilpotent p-groups of class two Sarmin, Nor Haniza QA75 Electronic computers. Computer science 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. 2012 Conference or Workshop Item PeerReviewed Sarmin, Nor Haniza (2012) A general case of the commutativity degree of nilpotent p-groups of class two. In: International Science Postgraduate Conference 2012, 27-30 November 2012, Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia. http://dx.doi.org/10.1063/1.4801212 |
| spellingShingle | QA75 Electronic computers. Computer science Sarmin, Nor Haniza 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 | QA75 Electronic computers. Computer science |
| work_keys_str_mv | AT sarminnorhaniza ageneralcaseofthecommutativitydegreeofnilpotentpgroupsofclasstwo AT sarminnorhaniza generalcaseofthecommutativitydegreeofnilpotentpgroupsofclasstwo |