Talk:Mathieu group M12

Latest comment: 8 years ago by Toploftical in topic Order

The article ought to include the fact that M12 is a simple group.

Also it should cite the paper

E. F. Assmus, Jr., and H. F. Mattson (1966) "Perfect codes and the Mathieu groups", Archiv der Mathematik vol. XVII, pp. 121-135.

Hmattson (talk) 18:51, 24 September 2014 (UTC)Reply

Order

edit

The order is written

   26 · 33 ·· 11 = 95040 = 12×11×10×9×8

This seems unnatural. If written for natural-language clarity, it might be:

   95040 = 12×11×10×9×8 = 26 · 33 ·· 11

If written to show ‘how derived’, it should be:

   12×11×10×9×8 = 26 · 33 ·· 11 = 95040

This seems the best fit with (some) other groups.


Also, the line

≈ 1×105

seems weird: do we really need to be told that 95040 is approximately a hundred grand? Really?

Of course, if there are long-established conventions for the writing of the order of a group, then this comment (except this sentence) might be wrong. JDAWiseman (talk) 16:49, 30 December 2015 (UTC)Reply

The line : ≈ 1×105 is just for consistency with all the other sporadic group which, of course, are all much bigger. It seems best to keep them all the same format for easy comparison. BTW, it took me 137 milliseconds to figure our that 95040 is about 1×105--Toploftical (talk) 17:50, 30 December 2015 (UTC)Reply