The probability that a group element fixes a set underregular action formetacyclic 2-groups of negative type
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...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Research India Publications
2015
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/58978/ https://www.ripublication.com/Volume/ijaerv10n15.htm |
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| Institution: | Universiti Teknologi Malaysia |
| Summary: | 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. |
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