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 .
出处
《南京师大学报（自然科学版）》
CAS
CSCD
1999年第1期22-25,共4页
Journal of Nanjing Normal University(Natural Science Edition)
关键词
一致序置换群
凸同余
序同构
序置换群
转换群
coherent ordered
permutation group,stable subgroup,convex congruence,ordering isomorphism
