Dear Stephen, Thanks, the command IsomorphicSubgroups(G,H) does exactly what I need.
Best regards, Kher Sham On 02/01/2013 01:09 PM, Stephen Linton wrote:
Dear Kher Sham Lim, I assume you actually want to know if G has a subgroup isomorphic to H. If so, the command you want is IsomorphicSubgroups(G,H). This is enormously more efficient than simply listing all [conjugacy classes of] subgroups of G in most cases. It might also be helpful to first replace G by an isomorphic permutation group (using IsomorphismPermGroup). All of these commands are documented in the reference manual (equivalently in the on-line help). Steve On 1 Feb 2013, at 11:33, Kher Sham Lim <khersham....@mpi-hd.mpg.de> wrote:Dear GAP forum I have a very large group to study, say G (it is an automorphism group of a small group). G has order of 10 million and I am interested in knowing whether a certain known group, say H is a subgroup in G. To find H is impossible in GAP, as GAP tries to calculate all the subgroups and this process exceeds my computer's memory. Is there another command or algorithm in GAP to compute subgroup of specific order only, or at least limit the subgroup order? I used SONATA to obtain the subgroups by the way. Thanks in advanced. Sincerely Kher Sham Lim _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
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