1. The Productivity Degree of Two Subgroups of Dihedral Groups.
- Author
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Hamid, Muhanizah Abdul, Ali, Nor Muhainiah Mohd, Sarmin, Nor Haniza, and Erfanian, Ahmad
- Subjects
- *
GROUP theory , *PROBABILITY theory , *ABELIAN groups , *MATHEMATICAL analysis , *NUMERICAL analysis - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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