Pathological and highly transitive representations of free groups.

DOI10.1007/S11083-014-9320-1zbMath1342.06012OpenAlexW1975312008MaRDI QIDQ2264120

Yanyan Li

Publication date: 20 March 2015

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-014-9320-1

zbMATH Keywords

linear ordersfree groupslattice ordered groupsping-pong lemmadoubly transitive automorphims groupslarge permutation groups

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Applications of set theory (03E75) Total orders (06A05) Ordered groups (06F15) Infinite automorphism groups (20B27)

Uses Software

• PlanetMath

Cites Work

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• Set theory. An introduction to independence proofs. 2nd print
• The group generated by \(x\mapsto x+1\) and \(x\mapsto x^ p\) is free
• The lattice-ordered group of automorphisms of an ordered set
• Automorphism groups of totally ordered sets: A retrospective survey
• Right orders and amalgamation for lattice-ordered groups
• Groups of order automorphisms of ordered sets
• Free Lattice-Ordered Groups Represented as o-2 Transitive l-Permutation Groups
• Automorphism Groups of Infinite Semilinear Orders (I)
• l-simple lattice-ordered groups
• Explicit free subgroups of $\operatorname {Aut}(\mathbf {R},\le )$
• Free lattice-ordered groups

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