Presentation for the Mathieu Group M24 from dedge superflip
Submitted by Paul Timmons on Fri, 04/20/2018 - 20:58.
Following on from a highly symmetric presentation I supplied for the miniature Rubiks cube group
Presentation for the 2x2x2 Rubiks cube group
I investigated whether the Mathieu Group M24 could be similarily presented taking full advantage of the
plentiful symmetry inherent in the Rubiks Revenge cube (4x4x4). The answer was indeed yes - here is the presentation I found - again on three involutions:
< a,b,c | a2 = b2 = c2 = 1,
(ab)6 = [(bc)6] = [(ca)6] = 1,
bacabacacabacababacabac = 1,
(ababacbc)3 = 1,
bababcbcbcbabab = cacabacacabacac >