> One way: > > sage: G = SymmetricGroup(3) > sage: GG = gap(G) I'm guessing that GG doesn't mean anything special, but is just a name similar to G, and gap(G) is transforming G into a gap object. I'm not exactly clear when this sort of thing needs to be done, but I guess I'll learn over time.
> sage: GG.LatticeSubgroups().ConjugacyClassesSubgroups() > [ ConjugacyClassSubgroups(SymmetricGroup( [ 1 .. 3 ] ),Group( () )), > ConjugacyClassSubgroups(SymmetricGroup( [ 1 .. 3 ] ),Group( [ (2,3) ] )), > ConjugacyClassSubgroups(SymmetricGroup( [ 1 .. 3 ] ),Group( [ (1,2,3) ] )), > ConjugacyClassSubgroups(SymmetricGroup( [ 1 .. 3 ] ),Group( > [ (1,3,2), (1,2) ] )) ] Is there a way to list all of the subgroups, not just the conjugacy classes? I experimented with GG.LatticeSubgroups(), but this didn't seem to do the trick. I'm trying to find tools for my undergrad abstract algebra class to use to explore some finite groups. Related to this, I see that there is a .is_subgroup command. How do you create a list of elements to apply this command to? Thanks again! Dana -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
