Abd. Halim, Z. and Mohd. Ali, N. M.
(2013)
*The probability of nth degree for some nonabelian metabelian groups.*
In: AIP Conference Proceedings.

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1063/1.4801213

## Abstract

A group G is metabelian if and only if there exists an abelian normal subgroup, A such that the factor group, G/A is abelian. For any group G, the commutativity degree of G is the probability that two randomly selected elements in the group commute and denoted as P(G). Furthermore, the probability of nth degree of a group G, Pn(G) is defined as the probability that the nth power of a random element commutes with another random element of the same group. It is also known as the nth commutativity degree of a group. In this paper, P(G) and Pn(G) for some nonabelian metabelian groups are determined.

Item Type: | Conference or Workshop Item (Paper) |
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Uncontrolled Keywords: | nanobelian |

Subjects: | Q Science |

Divisions: | Science |

ID Code: | 51366 |

Deposited By: | Haliza Zainal |

Deposited On: | 27 Jan 2016 01:53 |

Last Modified: | 18 Sep 2017 01:46 |

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