FINITE PERMUTATION REPRESENTATION OF A SUBGROUP OF PICARD GROUP

作     者：Qaiser Mushtaq Shahla Asif 

作者机构：Department of MathematicsQuaid-i-Azam UniversityIslamabadPakistan 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2012年第32卷第3期

页      面：842-850页

核心收录：

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 13[艺术学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Bianchi groups Picard group coset diagrams 

摘      要：We investigate action of a subgroup G1 of the Picard group on finite sets using coset diagrams. We show that its actions on the sets of 3, 4, 5, 6, 8, and 12 elements yield building blocks of Coset diagrams and that these blocks can be connected together so that a diagram of n vertices can be obtained. We show that various combinations of these blocks represent alternating and symmetric groups of various degrees. We show also that the action of G1 on a set of n vertices is transitive.