一致序置换群  

On Coherent Ordered Permutation Group

作　　者：周伟光[1] 

机构地区：[1]南京教育学院数学系

出　　处：《南京师大学报（自然科学版）》1999年第1期22-25,共4页Journal of Nanjing Normal University(Natural Science Edition)

摘　　要：引进了一致序置换群及ｎ一致性等概念，得到了ｍ一致性的等价条件和２一致序置换群的稳定子群是一致的一个等价条件．得到了一致序置换群包含某个α的Ｏ－块的链与凸同余链之间的序同构关系及存在一个包含α的Ｏ－块链到包含稳定子群Ｇα的凸子群的链的序同构关系．We defined the concepts of coherent ordered permutation group and n coherent ordered permutation,obtained an equivalent condition of m coherent,and that of a stable subgroup of 2 coherent ordered permutation is coherent.We also obtained the relation of ordering isomorphism between the chain of o block of coherent ordered permutation group containing a certain α with the chain of convex congruences and there exists an ordering isomorphism relation of o block chain containing α to the chain of convex subgroups containing stable subgroup G α .

关 键 词：一致序置换群 凸同余 序同构 序置换群 转换群 

分 类 号：O152.1[理学—数学]