Amenable groups with a locally invariant order are locally indicable.

DOI10.4171/GGD/234zbMath1343.20042arXiv1202.4716OpenAlexW2962855312MaRDI QIDQ399422

Dave Witte Morris, Peter A. Linnell

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4716

zbMATH Keywords

locally indicable groupsamenable groupsleft-orderable groupsleft-invariant orderslocally invariant orderslocally nilpotent subgroupsrecurrent ordersright-orderable groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Dynamical aspects of measure-preserving transformations (37A05) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (9)

Unique product groups and congruence subgroups ⋮ The number of locally invariant orderings of a group ⋮ Generalizations of the Burns–Hale theorem ⋮ An SMB approach for pressure representation in amenable virtually orderable groups ⋮ Promoting circular-orderability to left-orderability ⋮ On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation ⋮ Connective Bieberbach groups ⋮ Predictability, topological entropy, and invariant random orders ⋮ Fibering flat manifolds of diagonal type and their fundamental groups

Cites Work

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• On the dynamics of (left) orderable groups.
• Right-ordered groups
• Amenable groups that act on the line.
• A Variation on the Unique Product Property
• LOCALLY INVARIANT ORDERS ON GROUPS
• On braid groups

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