Amenability+ · Question 15
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.
Problem statement
Is there a f.p. amenable infinite simple group? A construction of Juschenko and Monod (2012) gives a finitely generated infinite simple amenable group. Conjecture: The derived subgroup of the full group of the Penrose tiling is a candidate.
Lean 4
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.
- [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 recordedAttempts 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 notesNotes 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.