RAFAEL AMICHIS LUENGO

The Dancing Sand Theorem — the 2-part of the sandpile group of the hypercube, for every n

Let K(Q_n) be the sandpile group (critical group, Jacobian) of the n-dimensional hypercube graph Q_n. Its odd part was determined by Bai in 2003 (Linear Algebra Appl. 369 (2003), 251–261); its 2-part has been open since then, and the latest work on it (Gao, Marx-Kuo, McDonald, Yu...