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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algebraJul 20, 2026Significance 14/100Registry: lean verified

Prior state unknown→proved

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

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

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