| 两类Cayley的向图的同构问题 |
| |
| 引用本文： | 马海成.两类Cayley的向图的同构问题[J].系统科学与数学,2000,20(3):295-301. |
| |
| 作者姓名： | 马海成 |
| |
| 作者单位： | 青海民族学院数学系, 西宁 810007 |
| |
| 基金项目： | 青海省教委基金资助课题. |
| |
| 摘 要： | 证明了对m=1,2,3,有限广义双循环群B(Q8)是m-DCI群当且仅当它的极大交换子群L是m-DCI群且4|-1mm|L|;有限广义二面体群D是m-DCI群当且仅当它的极大交换子群K是m-DCI群且2|-1mm|K|.
|
| 关 键 词： | Cayley有向图 广义二面体群 广义双循环群 m-DCI群 m-CI群. |
| 修稿时间： | 1998年1月13日 |
ISOMORPHISM PROBLEMS OF TWO CLASSES OF CAYLEY DIGRAPHS |
| |
| Ma Haicheng.ISOMORPHISM PROBLEMS OF TWO CLASSES OF CAYLEY DIGRAPHS[J].Journal of Systems Science and Mathematical Sciences,2000,20(3):295-301. |
| |
| Authors: | Ma Haicheng |
| |
| Institution: | Department of Mathematics, Qinghai Nationalities College, Xining 810007,P.R.China |
| |
| Abstract: | In this paper, we prove that for any m 1,2,3, the finite generalized dicyclic group B( Q8) is an m-DCI group if and only if the maximal abelian subgroup L of B is an m-DCI group with 4 |-1mm | L |; the finite generalized dihedral group D is an m-DCI group if and only if the maximal abelian subgroup K of D is an m-DCI group with 2 |-1mm | K |. |
| |
| Keywords: | Cayley digraph generalized dihedral group generalized dicyclic group m-DCI group m-CI group |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
