The productivity degree of two subgroups of dihedral groups
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 a...
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Main Authors: | , , , |
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Format: | Conference or Workshop Item |
Published: |
2014
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Subjects: | |
Online Access: | http://eprints.utm.my/id/eprint/63005/ http://dx.doi.org/10.1063/1.4887657 |
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Summary: | 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. |
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