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The Probability that an Element of Metacyclic 2-Groups of Positive Type Fixes a Set
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نویسنده
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El-sanfaz Mustafa Anis ,Sarmin Nor Haniza ,Omer Sanaa Mohamed Saleh
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منبع
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jurnal teknologi - 2014 - دوره : 71 - شماره : 1 - صفحه:7 -10
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چکیده
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In this paper, g is a metacyclic 2-group of positive type of nilpotency of class at least three. let ω be the set of all subsets of all commuting elements of g of size two in the form of (a,b), where a and b 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 g fixes a set in which g acts on a set, ω by conjugation.
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کلیدواژه
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Commutativity degree; metacyclic groups; group action
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آدرس
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Universiti Teknologi Malaysia, Faculty of Science, Department of Mathematical Sciences, Malaysia, Universiti Teknologi Malaysia, Faculty of Science, Department of Mathematical Sciences, Malaysia, University of Benghazi, Faculty of Science, Department of Mathematics, Libya
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Authors
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