FINITE PERMUTATION REPRESENTATION OF A SUBGROUP OF PICARD GROUP
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 obtain...
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| Veröffentlicht in: | Acta mathematica scientia 2012-05, Vol.32 (3), p.842-850 |
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| container_title | Acta mathematica scientia |
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| creator | Mushtaq, Qaiser Asif, Shahla |
| description | 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. |
| doi_str_mv | 10.1016/S0252-9602(12)60065-4 |
| format | Article |
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| identifier | ISSN: 0252-9602 |
| ispartof | Acta mathematica scientia, 2012-05, Vol.32 (3), p.842-850 |
| issn | 0252-9602 1572-9087 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Alma/SFX Local Collection |
| subjects | 05C20 20B35 20C30 Bianchi groups coset diagrams Group theory Mathematical analysis Permutations Picad Picard group Representations Subgroups 分组 对称群 操作设置 有限群 置换表示 陪集图 顶点 |
| title | FINITE PERMUTATION REPRESENTATION OF A SUBGROUP OF PICARD GROUP |
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