El-Sanfaz, Mustafa Anis and Sarmin, Nor Haniza and Omer, Sanaa Mohamed Saleh (2015) The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type. International Journal of Applied Engineering Research, 10 (15). pp. 35055-35059. ISSN 0973-4562
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Official URL: https://www.ripublication.com/Volume/ijaerv10n15.h...
Abstract
In this paper, let be a metacyclic 2-group of negative type of class two and ofclass at least three. Let O be the set of all subsets of all commuting elements of size two in the form of a,b, where a and b commute and |a|= |b|= 2.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, the probability that an element of fixes the set O under regular action is computed.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | commutativity degree, group action, metacyclic 2-groups |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 58978 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 04 Dec 2016 04:07 |
| Last Modified: | 15 Dec 2021 04:45 |
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