Посилання:Infinite transitivity on the Calogero-Moser space C₂ / J. Kesten, S. Mathers, Z. Normatov // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 227–250. — Бібліогр.: 5 назв. — англ.
Підтримка:The authors are indebted to Farkhod Eshmatov for proposing this problem and giving invaluable suggestions and would like to thank the International Research Experience for Undergraduates, organized through UC Fullerton and the Uzbekistan Academy of Sciences, for making the collaboration and project possible. Kesten and Mathers were supported by NSF Grant 1658672.
We prove a particular case of the conjecture of Berest–Eshmatov–Eshmatov by showing that the group of unimodular automorphisms of C[x, y] acts in an infinitely-transitive way on the Calogero-Moser space C₂.