Kourovka Problem 20.125: A surjective non-injective Rota–Baxter operator on a non-abelian group
- Mathematics
A non-abelian group admits a weight-one Rota–Baxter operator that is surjective but not injective, answering Problem 20.125.
Kourovka Problem 20.125: A surjective non-injective Rota–Baxter operator on a non-abelian group
- Mathematics
A non-abelian group admits a weight-one Rota–Baxter operator that is surjective but not injective, answering Problem 20.125.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
A non-abelian group admits a weight-one Rota–Baxter operator that is surjective but not injective, answering Problem 20.125.
Why it matters
The construction resolves that specific existence question.
What counts as progress
A specific group theory result with documented AI mathematical work, a stated prior baseline and a checkable source.
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Kourovka Problem 20.125: A surjective non-injective Rota–Baxter operator on a non-abelian group