Relative Commutativity Degree of Some Dihedral Groups

被引：2

作者：

Hamid, Muhanizah Abdul ^{[1
]}

Ali, Nor Muhainiah Mohd ^{[1
]}

Sarmin, Nor Haniza ^{[1
]}

Abd Manaf, Fadila Normahia ^{[1
]}

机构：

[1] Univ Teknol Malaysia, Dept Math Sci, Fac Sci, Utm Johor Bahru 81310, Johor DT, Malaysia

来源：

PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B | 2013年 / 1522卷

关键词：

Dihedral group; commutativity degree; relative commutativity degree;

D O I：

10.1063/1.4801214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The commutativity degree of a finite group Gwas 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.

引用

页码：838 / 843

页数：6

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