Amenability+ · Question 25
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
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What are "good" SQ-closed families of amenable groups?
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What is the SQ-closure of the set of bounded automata groups?
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?).
Question context
**Definition: ** SQ-closure = closure under subgroups and quotients.
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
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Discussion
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