| Autor: |
Mohd Ali, Nor Muhainiah, Rhani, Norarida Abd, Sarmin, Nor Haniza, Erfanian, Ahmad |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2018, Vol. 1974 Issue 1, p1-6, 6p |
| Abstrakt: |
Let G be a finite group. The probability that any two elements, chosen randomly from a group G, commute is called the commutativity degree of G. The concept of commutativity degree of G plays a major role in determining how much a group is close or far from being abelian. This concept was then extended to the relative commutativity degree of G and the relative commutativity degree of two subgroups H and K. The relative commutativity degree of G is defined as the probability for an element of the subgroup H and an element of G to commute to one another. Meanwhile, the relative commutativity degree of two subgroups H and K is the probability for an element of H to commute to an element of K. This concept is further generalized to the subset relative degree of G, where it is defined as the probability for a subset to be a subgroup of a group G. In this study, the subset relative degree of two distinct sets in a finite group G is found. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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