On Mon, Mar 1, 2010 at 1:26 PM, Dana Ernst <[email protected]> wrote:
> Is there a way to obtain a subgroup lattice for finite groups? I defined a
> finite group G and did G.? <tab> but didn't see anything that would do this.
> Any tips?
One way:
sage: G = SymmetricGroup(3)
sage: GG = gap(G)
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) ] )) ]
>
>
> Dana Ernst, Ph.D.
> Assistant Professor
> Department of Mathematics
> Plymouth State University
> MSC 29, 17 High Street
> Plymouth, NH 03264-1595
>
> Email: [email protected]
> Web Page: http://oz.plymouth.edu/~dcernst
> Office: Hyde 312
>
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