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arXiv 2009.04711math.GR
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Jordan置换群与D-关系的极限

Jordan permutation groups and limits of D-relations

Asma Ibrahim Almazaydeh, Dugald Macpherson

摘要:

通过Fraïssé合并构造了一个$ω$ -范畴结构,其自同构群是一个保“$D$ -关系的极限”的无限寡纯Jordan本原置换群.该结构是基于一个半线性秩序,其元素被标记的集合携带的$D$ -关系,与强相干条件,这些$D$ -集是如何相互关联的。

英文摘要:

We construct via Fraïssé amalgamation an $ω$-categorical structure whose automorphism group is an infinite oligomorphic Jordan primitive permutation group preserving a `limit of $D$-relations'. The construction is based on a semilinear order whose elements are labelled by sets carrying a $D$-relation, with strong coherence conditions governing how these $D$-sets are inter-related.

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