Sarmin, Nor Haniza and Omer Sanaa, Mohamed Saleh and Erfanian, Ahmad
(2015)
*On the probability that a group element fixes a set and its generalized conjugacy class graph.*
International Journal Of Mathematical Alysis, 9
(42008).
pp. 161-167.
ISSN 1312-8876

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1063/1.4932489

## Abstract

Let G be a metacyclic 2-group. The probability that two random elements commute in G is the quotient of the number of commuting elements by the square of the order of G. This concept has been generalized and extended by several authors. One of these extensions is the probability that an element of a group fixes a set, where the set consists of all subsets of commuting elements of G of size two that are in the form (a,b), where a and b commute and lcm(|a|, |b|) = 2. In this paper, the probability that a group element fixes a set is found for metacyclic 2-groups of negative type of nilpotency class at least two. The results obtained on the size of the orbits are then applied to graph theory, more precisely to generalized conjugacy class graph.

Item Type: | Article |
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Uncontrolled Keywords: | commutativity degree, conjugacy class graph, graph theory |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 58684 |

Deposited By: | Haliza Zainal |

Deposited On: | 04 Dec 2016 04:07 |

Last Modified: | 10 Apr 2022 01:47 |

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