The probability that an element of metacyclic 2-groups of positive type fixes a set
In this paper, is a metacyclic 2-group of positive type of nilpotency of class at least three. Let be the set of all subsets of all commuting elements of of size two in the form of where and commute and each of order two. The probability that an element of a group fixes a set is considered as one o...
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| Format: | Article |
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Penerbit UTM Press
2014
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| _version_ | 1796861378872475648 |
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| author | El-sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh |
| author_facet | El-sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh |
| author_sort | El-sanfaz, Mustafa Anis |
| collection | ePrints |
| description | In this paper, is a metacyclic 2-group of positive type of nilpotency of class at least three. Let be the set of all subsets of all commuting elements of of size two in the form of where and commute and each of order two. The probability that an element of a group fixes a set is considered as one of the extensions of the commutativity degree that can be obtained by some group actions on a set. In this paper, we compute the probability that an element of fixes a set in which acts on a set, by conjugation. |
| first_indexed | 2024-03-05T19:55:25Z |
| format | Article |
| id | utm.eprints-63003 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:55:25Z |
| publishDate | 2014 |
| publisher | Penerbit UTM Press |
| record_format | dspace |
| spelling | utm.eprints-630032017-11-01T04:17:08Z http://eprints.utm.my/63003/ The probability that an element of metacyclic 2-groups of positive type fixes a set El-sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh QA Mathematics In this paper, is a metacyclic 2-group of positive type of nilpotency of class at least three. Let be the set of all subsets of all commuting elements of of size two in the form of where and commute and each of order two. The probability that an element of a group fixes a set is considered as one of the extensions of the commutativity degree that can be obtained by some group actions on a set. In this paper, we compute the probability that an element of fixes a set in which acts on a set, by conjugation. Penerbit UTM Press 2014 Article PeerReviewed El-sanfaz, Mustafa Anis and Sarmin, Nor Haniza and Omer, Sanaa Mohamed Saleh (2014) The probability that an element of metacyclic 2-groups of positive type fixes a set. Jurnal Teknologi, 71 (1). pp. 7-10. ISSN 0127-9696 http://dx.doi.org/10.11113/jt.v71.2899 DOI:10.11113/jt.v71.2899 |
| spellingShingle | QA Mathematics El-sanfaz, Mustafa Anis Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh The probability that an element of metacyclic 2-groups of positive type fixes a set |
| title | The probability that an element of metacyclic 2-groups of positive type fixes a set |
| title_full | The probability that an element of metacyclic 2-groups of positive type fixes a set |
| title_fullStr | The probability that an element of metacyclic 2-groups of positive type fixes a set |
| title_full_unstemmed | The probability that an element of metacyclic 2-groups of positive type fixes a set |
| title_short | The probability that an element of metacyclic 2-groups of positive type fixes a set |
| title_sort | probability that an element of metacyclic 2 groups of positive type fixes a set |
| topic | QA Mathematics |
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