Automorphism Groups of Infinite Semilinear Orders (I)
Automorphism Groups of Infinite Semilinear Orders (I)
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无限半线性阶的自同构群（一）
DOI：
10.1112/plms/s3-58.3.454
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发表时间：
1989
影响因子：
1.8
通讯作者：
H. D. Macpherson
中科院分区：
文献类型：
--
作者：
M. Droste;W. Holland;H. D. Macpherson
得到了关于某些无限树的自同构群的正规子群的结果。这些结构大多数是非范畴的，是偏序论意义上的树，而不是图论意义上的树。证明了自同构群有一个最小的非平凡正规子群，一个最大的真正规子群，以及介于这两者之间的至少22个o正规子群。我们也得到并使用一些结果的自同构群的链。
Results are obtained concerning normal subgroups of the automorphism groups of certain infinite trees. These structures are mostly ℵo-categorical, and are trees in a poset-theoretic but not graph-theoretic sense. It is shown that the automorphism group has a smallest non-trivial normal subgroup, a largest proper normal subgroup, and at least 22οnormal subgroups between these two. We also obtain and use some results on groups of automorphisms of chains.