Galois' Professor's Revenge
We prove that the groups associated with the Revenge Cube and the Professor's Cube can be realized as Galois groups over the rationals.
math.NT↗
arXiv subjects
M. Mereb
Publications and source records attributed to M. Mereb.
Rubik's as a Galois'
We prove that the Rubik's cube group can be realized as a Galois group over the rationals.
math.NT↗
Enumeration of set-theoretic solutions to the Yang-Baxter equation
We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions to the Yang-Baxter equation of small size. We show that there are 321931 involutive solutions of size nine, 4895272 involutive solutions of size ten and 422449480 non-involutive solution of size eight. Our method is then used to enumerate non-involutive biquandles.
math.GR↗