The circular division of the factor group (Q2r x Cr, Z)/(P)over-bar(Qr x Cr) when r is an odd number

被引：0
|
作者：
Jabir, Naba Hasoon [1 ]
Abass, Rajaa Hassan [1 ]
机构：
[1] Univ Kufa, Fac Educ Girls, Dept Math, Kufa, Iraq
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2021年 / 24卷 / 06期
关键词：
Circular divison; Q(2r); C-7; Odd number;
D O I：
10.1080/09720529.2020.1861777
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The benefit of this paper is to find the circular divison of the factor group (Q(2r) x C-r, Z)/(P) over bar (Q(r) x C-r) when r is an odd number, where Q(2r) is denoted to Quaternion group of order 4r, such that for each positive integer r, there are two generators a and b for Q(2r) satisfies Q(2r) = {a(h) b(k) , 0 <= h <= 2r - 1, k = 0, 1} which has the following properties {a (2r) = b (4) = I, ba'b(-1) = a(-r) }.
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页码：1625 / 1636
页数：12
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