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The probability of nth degree for some nonabelian metabelian groups

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

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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)
Uncontrolled Keywords:nanobelian
Subjects:Q Science
Divisions:Science
ID Code:51366
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:18 Sep 2017 09:46

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