Universiti Teknologi Malaysia Institutional Repository

The productivity degree of two subgroups of dihedral groups

Abdul Hamid, Muhanizah and Mohd. Ali, Nor Muhainiah and Sarmin, Nor Haniza and Erfanian, Ahmad (2014) The productivity degree of two subgroups of dihedral groups. In: Proceedings of the 21st National Symposium on Mathematical Sciences (SKSM21), 2014, Penang, Malaysia.

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Official URL: http://dx.doi.org/10.1063/1.4887657

Abstract

The commutativity degree of a group is the probability that two randomly chosen elements of G commute. The concept of commutativity degree is then extended to the relative commutativity degree of a group, which is defined as the probability for an element of H and an element of G to commute to one another. In this research, the relative commutativity degree concept is extended to the probability of a product of two subgroups of a group G productivity degree of two subgroups of a group G which is defined as the ratio of the order of the intersection of HK and KH with the order of their union where H and K are the subgroups of a group G. This research focuses only on the dihedral groups.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:G productivity degree, G commute
Subjects:Q Science
Divisions:Science
ID Code:63005
Deposited By: Fazli Masari
Deposited On:03 Oct 2017 15:50
Last Modified:03 Oct 2017 15:50

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