3 papers
math.AG2026
Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE
Victor Buchstaber, Mikhail Kornev, Vladimir Rubtsov
We show that the associativity condition of the universal symmetric 2-algebraic 2-valued group defined by the Buchstaber polynomial admits several mutually equivalent interpretatio…
math.GR2025
On the Classification of -Valued Monoids and Groups of Order 3
Mikhail Kornev
The article presents a complete classification of -valued monoids and groups of order 3. Important corollaries of this result are discussed.
math.GR2025
-Valued Groups, Kronecker Sums, and Wendt's Matrices
Victor Buchstaber, Mikhail Kornev
The article presents results on the well-known problem concerning the structure of integer polynomials , which define multiplication laws in -valued groups $\mathb…