Just a quick note: Stephen Kohl pointed out that the groups are alternating groups for n=6..9, and IsNaturalAlternatingGroup shows they are full alternating groups on n! points for n=6..10. The probability of two random permutations generating a permutation group other than An or Sn is quite low, so it is not too surprising to get such a large group.
Allan Adler wrote:
At any rate, now I'd like to know what groups one does get, but it is pretty clear that I'm not equipped to work on it, for lack of suitable computer facilities, and I can't afford to buy better ones. So, if someone does figure out more about these groups, I hope they will let me know about them.
_______________________________________________ Forum mailing list [email protected] http://mail.gap-system.org/mailman/listinfo/forum
