[GAP Forum] how to recognise a group?

R.E. Boss r.e.boss at planet.nl
Fri Aug 17 14:56:47 BST 2012


Thanks for the reply.
Problem becomes: how do I enter a multiplication table of 2304 = 48^2 elements into GAP?
Is there some read facility? 
Preparing a list of 48 lists of 48 elements is not the problem, entering by hand is quite another story.


R.E. Boss


> -----Oorspronkelijk bericht-----
> Van: rfmorse at gmail.com [mailto:rfmorse at gmail.com] Namens Robert Morse
> Verzonden: donderdag 16 augustus 2012 14:51
> Aan: R.E. Boss
> CC: forum at gap-system.org
> Onderwerp: Re: [GAP Forum] how to recognise a group?
> 
> In my example the table M is the cyclic group.
> 
> Given the multiplication table say M do the following:
> 
> Form the group using the multiplication table:
> 
> gap> G := GroupByMultiplicationTable(M);
> <group of size 48 with 48 generators>
> 
> Ask for some structural information to get an idea what the group is:
> 
> gap> StructureDescription(G);
> "C48"
> 
> Robert F. Morse
> 
> On Tue, Aug 14, 2012 at 1:49 PM, R.E. Boss <r.e.boss at planet.nl> wrote:
> > Hello,
> >
> >
> >
> > I'm new to Gap and using it for a couple of days only and would like to have the next question answered.
> >
> > If I have a multiplication table of a (small) group, how can I determine which group it is?
> >
> > The actual table I have is for group of 48 elements.
> >
> >
> >
> > R.E. Boss
> >
> >
> >
> >
> >
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> > Forum at mail.gap-system.org
> > http://mail.gap-system.org/mailman/listinfo/forum




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