2019•Fundamenta MathematicaeOpen access

Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms

Bruno Duchesne, Nicolas Monod, Phillip Wesolek

Open full text 6 citations

Abstract

Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relationship and introduce a universal construction of infinite permutation

Open-access reader

About this research paper

What this paper is about

Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relationship and introduce a universal construction of infinite permutation

Why it matters

OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relationship and introduce a universal construction of infinite permutation

Key concepts: Mathematics, Permutation group, Homeomorphism (graph theory), Permutation (music), Transitive relation, Cyclic permutation, Group (periodic table), Simplicity

Related papers

Back to paper searchBrowse research topicsOriginal source
Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms — Research Paper | ScholarLens