On Fri, Jun 17, 2022 at 10:00 PM R. K. Dennis <g...@rkd.math.cornell.edu> wrote: > > Dear Colleagues, > > I have a computation where the results are stored and displayed > in a max by conj matrix. Here max is the number of conjugacy > classes of maximal subgroups and conj is the number of conjugacy > classes of elements. > > The orders of the rows and columns corresponds to the classes. > > But gap doesn't generate the conjugacy classes of maximal subgroups > in the same order every time; I don't know about classes of elements > as I haven't noticed any difference in the matrix (but I suppose > that might depend of the type of computations I'm doing). > > Ok, so my question is: > > Is there a way to get gap to present the results in the same order > every time? I suppose I could sort the results by order of subgroup > size. But that wouldn't necessarily uniquely order the representatives > of the conjugacy classes of maximal subgroups. > > Is there anything reasonable to do? > > For conjugacy classes of elements, gap doesn't seem to sort by > size or order, but does seem reasonably consistent, at least for > the small examples I've looked at. > > Suggestions most welcome!
I hope the following example represented here [1] by Olexandr Konovalov will give you some clues: G:=Group((1,9,6,7,5)(2,10,3,8,4), (1,10,7,8)(2,9,4,6)); cc:=ConjugacyClasses(G); Length(cc); c:=cc[2]; for x in c do Print(x,"\n"); od; # without constructing the whole list, and also use enumerator which will give you a list-like behaviour: enum:=Enumerator(c); enum[2]; Position( enum, (3,7,9,4)(5,10,6,8) ); Position( enum, (3,7,6,8) ); [1] https://math.stackexchange.com/questions/2604094/list-conjugacy-classes-in-gap > > Thanks! > > Keith Yours, Hongsheng _______________________________________________ Forum mailing list Forum@gap-system.org https://mail.gap-system.org/mailman/listinfo/forum
