On Tue, Jan 18, 2011 at 05:31:00AM -0800, Sara Radfar wrote: > Dear GAP Forum, > > Hi > I need a code that tell me whether exist a small group $G$ such that > the set of the number of sylow subgroup it be ${1,9,17}$.
Maybe this is an exercise or something but it seems to me that, if Np is the number or p-Sylow, then Np = 1 (mod p), so if Np=17 then p=2 and if Np=9 then also p=2, so this is not possible. In other word, the code to solve this is: false; Cheers, Bill. _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum