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- W3013022503 abstract "One of the oldest outstanding problems in dynamical algebraic combinatorics is the following conjecture of P. Cameron and D. Fon-Der-Flaass (1995). Consider a plane partition $P$ in an $a times b times c$ box ${sf B}$. Let $Psi(P)$ denote the smallest plane partition containing the minimal elements of ${sf B} - P$. Then if $p= a+b+c-1$ is prime, Cameron and Fon-Der-Flaass conjectured that the cardinality of the $Psi$-orbit of $P$ is always a multiple of $p$. This conjecture was established for $p gg 0$ by Cameron and Fon-Der-Flaass (1995) and for slightly smaller values of $p$ in work of K. Dilks, J. Striker, and the second author (2017). Our main theorem specializes to prove this conjecture in full generality." @default.
- W3013022503 created "2020-04-03" @default.
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- W3013022503 date "2020-03-29" @default.
- W3013022503 modified "2023-09-27" @default.
- W3013022503 title "Proof of the Cameron and Fon-Der-Flaass periodicity conjecture" @default.
- W3013022503 hasPublicationYear "2020" @default.
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