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Kourovka Problem 20.125 - Noninjective Rota-Baxter Operator

Can a nonabelian group admit a Rota-Baxter operator that is surjective but not injective? A construction shows yes.

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Occurred: Jul 20, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Kourovka Problem 20.125 - Noninjective Rota-Baxter Operator · Kourovka 20.125

Confidence: Not scored

Registry verification: lean verified · preprint · resolved

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Aristotle
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Kourovka Problem 20.125 - Noninjective Rota-Baxter Operator — Mathematical Frontier Network