当前位置: X-MOL 学术J. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Icosahedral Group and Classification of PSL(2, Z)-Orbits of Real Quadratic Fields
Journal of Mathematics ( IF 1.4 ) Pub Date : 2020-08-28 , DOI: 10.1155/2020/9568254
Tianlan Chen 1 , Muhammad Nadeem Bari 2 , Muhammad Aslam Malik 2 , Hafiz Muhammad Afzal Siddiqui 3 , Jia-Bao Liu 4
Affiliation  

Reduced numbers play an important role in the study of modular group action on the -subset of . For this purpose, we define new notions of equivalent, cyclically equivalent, and similar -circuits in -orbits of real quadratic fields. In particular, we classify -orbits of containing G-circuits of length 6 and determine that the number of equivalence classes of -circuits of length 6 is ten. We also employ the icosahedral group to explore cyclically equivalence classes of circuits and similar -circuits of length 6 corresponding to each of these ten circuits. This study also helps us in classifying reduced numbers lying in the -orbits.

中文翻译:

实二次场的二十面体群和PSL(2,Z)-轨道的分类

数量的减少在研究模块化小组行动的过程中起着重要作用。 -的子集为此,我们定义等同,等效循环和类似的新概念-电路中-实二次场的轨道。特别是,我们对-的轨道含有ģ长度为6的-circuits并确定等价类的数目-长度为6的电路是10。我们还采用二十面体组探索电路和类似的周期性等价类-长度为6的电路对应于每个这些10电路。这项研究还有助于我们对位于-轨道。
更新日期:2020-08-28
down
wechat
bug