Dear GAP Forum, members thanks for the information.
Sincerely, Sandeep Murthy. On 1 Jul 2010, at 21:40, Stephen Linton wrote: > Dear GAP Forum. > > As has just been pointed out to me, I typed too hastily: > > >> >> >> >> Finally, for the largest examples it might be best to factorise n into prime >> powers and use the Sylow subgroups to find representatives of all the >> conjugacy classes of elements of the appropriate prime power orders. Then, >> aving enumerated these elements, the number of elements of order n is simply >> the product. >> > > This is entirely incorrect, since only commuting elements of prime power > orders give rise to elements of the product order. It might still be possible > to do something along these lines (for instance to find elements of order 12, > one might explore the centralisers of elements of order 4), but it is much > less simple than I implied. > > Steve > > _______________________________________________ > Forum mailing list > Forum@mail.gap-system.org > http://mail.gap-system.org/mailman/listinfo/forum _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum