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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Moradipour, Kayvan, Sarmin, Nor Haniza, Erfanian, Ahmad
التنسيق: مقال
اللغة:English
منشور في: Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2012
الموضوعات:
الوصول للمادة أونلاين: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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المؤسسة: Universiti Teknologi Malaysia
اللغة: English
الوصف
الملخص: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.