OpenAI reports quasi-isometric recognition of virtually polycyclic groups

Every finitely generated group quasi-isometric to a finitely generated virtually polycyclic group is itself virtually polycyclic.

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Understanding the problem

Read the background

Every finitely generated group quasi-isometric to a finitely generated virtually polycyclic group is itself virtually polycyclic.

Why it matters

If correct, resolves the Eskin–Fisher–Whyte lattice-recognition conjecture in its full virtually polycyclic form.

What counts as progress

Does quasi-isometry preserve virtual polycyclicity among finitely generated groups?

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