The precise value of commutativity degree in some finite groups
The commutativity degree of a finite group G, denoted by P(G), is the probability that a selected chosen pair of elements of G commute. The object of this paper is to compute a precise value of commutativity degree of some finite metacyclic p-groups of class at least 3. In particular, we describe th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia
2012
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/29097/1/Nor%20Haniza%20Sarmin2012_ThePreciseValueofCommutativityDegreeinSomeFiniteGroups.pdf http://eprints.utm.my/id/eprint/29097/ http://mjfas.ibnusina.utm.my/index.php/jfs/article/viewFile/278/207 |
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| Institution: | Universiti Teknologi Malaysia |
| Language: | English |
| Summary: | The commutativity degree of a finite group G, denoted by P(G), is the probability that a selected chosen pair of elements of G commute. The object of this paper is to compute a precise value of commutativity degree of some finite metacyclic p-groups of class at least 3. In particular, we describe the commutativity degree of these groups in split and non-split case. |
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