You can get all Sylow p-subgroups of a given group G with the following function:
SylowSubgroups := function ( G, p ) return AsList(SylowSubgroup(G,p)^G); end; Hope this helps, Stefan ----------------------------------------------------------------------------- Dr. Stefan Kohl, https://stefan-kohl.github.io/ ----------------------------------------------------------------------------- ________________________________ From: tk...@math.bu.edu <tk...@math.bu.edu> Sent: Friday, April 6, 2018 12:05:50 AM To: forum@gap-system.org Subject: [GAP Forum] all Sylow Subgroups Is there a command to yield *all* the Sylow p-subgroups of a given group in GAP? I know about the SylowSubgroups command, but that picks just one for a given prime. I could code it by hand using a transversal of the normalizer, but I was wondering if there is a built-in way to get it? Thanks. _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum