Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
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These labels describe origin, not correctness: citations and verification chips remain separate evidence.
Quasi-isometry invariants and geometric properties of finitely generated groups
Definition
Let be a property of finitely generated groups.
The property is a quasi-isometry invariant if, whenever and are finitely generated and have the same quasi-isometry type, the truth of for implies its truth for .
Equivalently, depends only on the quasi-isometry type of the group. In geometric group theory one also says that such a property is geometric.
Depends on
Used by
Dependency tree · two levels
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Sources
- C. Loh, Geometric Group Theory: An Introduction (2015 course version), Section 5.5 (standard reference, not scraped)