两类Cayley有向图的同构问题  

ISOMORPHISM PROBLEMS OF TWO CLASSES OF CAYLEY DIGRAPHS

作　　者：马海成[1] 

机构地区：[1]青海民族学院数学系,西宁810007

出　　处：《系统科学与数学》2000年第3期295-301,共7页Journal of Systems Science and Mathematical Sciences

基　　金：青海省教委基金

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于群L是m－DCI群且4|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|K|.In this paper, we prove that for any m ∈ {1, 2, 3}, the finite generalized dicyclicgroup B( Q8) is an m - DCI group if and only if the maximal abelian subgroup L of B isan m - DCI group with 4|L|; the finite generalized dihedral group D is an m - DCI group ifand only if the maximal abelian subgroup K of D is an m - DCI group with 2|K|.

关 键 词：CAYLEY有向图 广义二面体群 广义双循环群 同构 

分 类 号：O157[理学—数学]