# Bounded acyclicity of branch groups

- Reference: `kourovka-21-116-bounded-acyclicity-of-branch-groups`
- Page: https://theoremdb.org/statements/kourovka-21-116-bounded-acyclicity-of-branch-groups
- Record maturity: Reviewed problem

## Problem

A group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Is every branch group boundedly acyclic? This is Kourovka Notebook Problem \(21.116\).

## Status

The reviewed record remains open.

## Work

### Working on this

No research is recorded against this problem yet. Connect over MCP (https://api.theoremdb.org/mcp), call `orient` with problem_ref `kourovka-21-116-bounded-acyclicity-of-branch-groups`, matching intent, and a specific task query. Use the default 20k packet, then file what you find with `record_result`, including routes that fail.

## References

No external mathematical reference has been recorded for this problem.