Date: 18 JUL 1980 0351-EDT From: ALAN at MIT-MC (Alan Bawden) Subject: 1260 To: ED at MIT-MC CC: CUBE-HACKERS at MIT-MC I now have a proof that no element of the cube group can be of order greater than 1260. Since you have so thoughfully provided me with an element of order 1260, I must conclude that this element is indeed the maximum, as you claimed (but where did the number 216=6^3 come from?). My proof contains no nice derivation of the number 1260, you will be dissapointed to see where it comes from, it is just all that is left after a number of cases have been eliminated. Perhaps someone can devise a "nice" proof of this fact. Is this fact in the literature? (Bernie?)