Highly transitive representations of free groups and free products
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Publication:3204654
DOI10.1017/S0004972700028744zbMath0717.20001MaRDI QIDQ3204654
A. M. W. Glass, Stephen H. McCleary
Publication date: 1991
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
free productsfree groupsfaithful representationsfree lattice ordered groupshighly order-transitive groups of order-preserving permutations
Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Total orders (06A05) Ordered groups (06F15) Multiply transitive infinite groups (20B22)
Related Items (10)
Automorphisms of algebraic varieties and infinite transitivity ⋮ Highly transitive actions of groups acting on trees ⋮ Highly transitive representations of free products on the natural numbers ⋮ On pairs of finitely generated subgroups in free groups ⋮ Highly transitive actions of free products. ⋮ Explicit free subgroups of $\operatorname {Aut}(\mathbf {R},\le )$ ⋮ Transitivity degrees of countable groups and acylindrical hyperbolicity ⋮ The ubiquity of free groups ⋮ Automorphism groups of countable highly homogeneous partially ordered sets ⋮ Homogeneous actions on Urysohn spaces
Cites Work
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- The group generated by \(x\mapsto x+1\) and \(x\mapsto x^ p\) is free
- O-primitive ordered permutation groups. II
- The lattice-ordered group of automorphisms of an ordered set
- Free Products of Lattice-Ordered Groups
- Free Lattice-Ordered Groups Represented as o-2 Transitive l-Permutation Groups
- An Even Better Representation for Free Lattice-Ordered Groups
- Most Finitely Generated Permutation Groups are Free
- A PERMUTATION REPRESENTATION OF A FREE GROUP
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