Wild Cantor actions

DOI10.2969/jmsj/85748574OpenAlexW3178204886MaRDI QIDQ2134215

Jesús A. Álvarez López, Hiraku Nozawa, Ramón Barral Lijó, O. V. Lukina

Publication date: 6 May 2022

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00498

zbMATH Keywords

wreath productsgroup actionsCantor setsprofinite groupscentralizer direct limit groupequicontinuous actionsgroup actions on rooted treesstabilizer direct limit groupthe alternating groupthe cyclic group

Mathematics Subject Classification ID

Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Foliations in differential topology; geometric theory (57R30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25) Groups acting on trees (20E08) Limits, profinite groups (20E18) Differential topological aspects of diffeomorphisms (57R50) General theory of group and pseudogroup actions (22F05) Groups as automorphisms of other structures (22F50)

Cites Work

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• Limit group invariants for non-free Cantor actions
• Inverse Limit Sequences with Covering Maps

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