Year: 2012
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Lockett, Debbie, Macpherson, Dugald
Institution: University of Leeds
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G8196498343
OpenAlex ID: W2950589275