Orbit-equivalent infinite permutation groups

被引：0

作者：

D. C. Lockett

H. D. Macpherson

机构：

[1] University of Leeds,School of Mathematics

来源：

Journal of Algebraic Combinatorics | 2013年 / 38卷

关键词：

Primitive permutation group; Orbit-equivalent; Set-homogeneous;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G,H be closed permutation groups on an infinite set X, with H a subgroup of G. It is shown that if G and H are orbit-equivalent, that is, have the same orbits on the collection of finite subsets of X, and G is primitive but not 2-transitive, then G=H.

引用

页码：973 / 988

页数：15

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