On Thu, Jul 04, 2019 at 01:42:54AM +0430, zohreh sayanjali wrote: > Dear GAP Forum, > I have two groups of orders $ 2^5.3^2.5.7 $ and $ 2^4.3^2.5.7 $. I > need to calculate the number of Sylow 7-subgroup of these groups by Gap. > I would really appreciate it if you help me to find it.
One can compute the normalizer H in G (where G is one of your groups) of the subgroup generated by an element of order 7; then |G|/|H| is the number of Sylow 7-subgroups. See https://www.gap-system.org/Manuals/doc/ref/chap39.html#X87B5370C7DFD401D HTH Dima _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
