trureturingGitHub MATHEMATICAL ATLAS

Words / CONCEPT

Weak Abelian Periodicity Does Not Force Finitely Many Unbordered Factors

An explicit ternary word gives a negative answer to Question 2 of Charlier, Harju, Puzynina, and Zamboni.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
THEOREM

Question 2 has a negative answer

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An Unbounded Family of Unbordered FactorsAn Unbounded Family ofUnbordered FactorsThe Geometry of the Ternary PathThe Geometry of the TernaryPathWeak Abelian Periodicity Does Not Force Finitely Many Unbordered FactorsWeak Abelian Periodicity DoesNot Force Finitely ManyUnbordered Factors
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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S1
Domain
Words
Node ID
D5/S1/Words/AbelianBorders/AbelianBorderQuestion
Repository path
D5/S1/Words/AbelianBorders/AbelianBorderQuestion.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.