Sporadic Homogeneous Structures
Sporadic Homogeneous Structures
复制标题
零星的同质结构
DOI：
10.1007/978-1-4612-1340-6_2
复制
发表时间：
2000
影响因子：
0.9
通讯作者：
G. Cherlin
中科院分区：
文献类型：
--
作者：
G. Cherlin
讨论了有限齐次结构的Lachlan分类理论和有限置换群上的相关问题。拉克伦的理论提供了一种分类层次，在这种分类层次中，在一个语境中“零星”的结构在以后的阶段中作为无限家庭的成员重新出现。在这个层次结构中，每个有限结构都在某个层次上得到解释，但对于与熟悉的原始排列群相关的结构，精确定位该层次的组合问题可能相当具有挑战性。
We discuss Lachlan’s classification theory for finite homogeneous structures and related problems on finite permutation groups. Lachlan’s theory provides a hierarchy of classifications in which structures which are “sporadic”in one context reappear as members of infinite families at later stages. Every finite structure is accounted for at some level in this hierarchy, but for structures associated with familiar primitive permutation groups, the combinatorial problem of locating that level precisely can be quite challenging.