Dear Ms. Khamseh, The point is that if G is a group of order p^n and p>= n, then the (nilpotenty) class of G is less than p. So it is possible to use Lazard Correspondence between nilpotent p-groups and Lie rings of class <p. And in the case p>=n, one may find a "uniform" classification for all p-groups of order p^n with p>=n.
What remains, is to deal with the other values of p<n, the method here is completely computational (by means of using machin computation) and depends to many technical tools. Best Regards Alireza Abdollahi Alireza Abdollahi Department of Mathematics University of Isfahan Isfahan 81746-73441,Iran a.abdoll...@math.ui.ac.ir abdoll...@member.ams.org http://sci.ui.ac.ir/~a.abdollahi ----- Original Message ---- From: Elaheh khamseh <elahehkham...@gmail.com> To: fo...@gap-system.org Sent: Sat, February 6, 2010 10:52:29 PM Subject: [GAP Forum] question Dears There is a charactertion of p-groups of order P^5 in one paper for p>=5. I want to know what we have for groups order p^5 when p=2 or p=3. Are they different? Yours; E. Khamseh. _______________________________________________ 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
