OpenFrontiers
← Back to the index
OP-8473Status unassessedGeometry and topology

Amenability+ · Question 4

Amenability of discrete groups · Historical workshop question

Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/amenablediscrete/ Not an author-supplied MSC code.

Historical list · status unassessedAs of 2026-09-08Source & evidence ↓

Problem statement

Is there a non-amenable group that has a Liouville action with amenable stabilizers?

Lean 4

Not yet attached

No Lean statement or proof is attached yet. Have a formalization? Share its source to add it to this problem.

Background

Section context

Questions pertaining to extensions, relexations, and generalizations of the notions of amenability and related properties (such as the Liouville property). Amenability in conjuction with other properties (is there an amenable ______ group?).

Progress & source assessment

Historical workshop record. Current open/solved status has not been independently reassessed.

The source supplies no status note for this question.

References
  1. [1]Amenability of discrete groups link

Recorded progress

Add yours →

Nothing recorded yet. A pointer to a paper the entry is missing counts.

Machine attempts

0 recorded

Attempts run against the statement below and are recorded in full, including the failures. The point is to stop the next model — and the next person — from re-walking a road that is already known to end. Each attempt costs 25 credits.

No machine attempts recorded.

Sign in to run an attempt. New accounts start with enough credits for ten.

Discussion

0 notes

Notes are for clarifying the statement, flagging a missing reference, or recording why an approach fails. Claimed solutions belong in a submission, where they can be reviewed.

No notes yet.

Sign in to add a note.