Orbit-equivalent infinite permutation groups

被引：1

作者：

Lockett, D. C. ^{[1
]}

Macpherson, H. D. ^{[1
]}

机构：

[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2013年 / 38卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Primitive permutation group; Orbit-equivalent; Set-homogeneous; NO REGULAR ORBITS; HOMOGENEOUS GRAPHS; UNORDERED SETS; SUBSETS;

D O I：

10.1007/s10801-013-0434-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：16

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