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.*
Intertiol Jourl Of Applied Engineering Research, 10
(15).
pp. 35055-35059.
ISSN 9734-562

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## 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 |
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Uncontrolled Keywords: | commutativity degree, group action, metacyclic 2-groups |

Subjects: | A General Works |

Divisions: | Science |

ID Code: | 58978 |

Deposited By: | Haliza Zainal |

Deposited On: | 04 Dec 2016 12:07 |

Last Modified: | 01 Feb 2017 09:16 |

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