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Relative commutativity degree of some dihedral groups

Abdul Hamid, M. and Mohd. Ali, N. M. and Sarmin, N. H. and Abd. Manaf, F. N. (2013) Relative commutativity degree of some dihedral groups. In: Proceedings Of The 20th National Symposium On Mathematical Sciences (SKSM20): Research In Mathematical Sciences: A Catalyst For Creativity And Innovation, PTS A And B.

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Official URL: http://dx.doi.org/10.1063/1.4801214

Abstract

The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups, finite groups and finite rings in 1968. The commutativity degree, P(G), is defined as the probability that a random pair of elements in a group commute. The relative commutativity degree of a group G is defined as the probability for an element of subgroup, H and an element of G to commute with one another and denoted by P(H,G). In this research the relative commutativity degree of some dihedral groups are determined.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:dihedral groups
Subjects:Q Science
Divisions:Science
ID Code:51277
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:18 Sep 2017 08:45

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