[GAP Forum] Cryst and CrystCat packages

Barry Monson bmonson at unb.ca
Tue Dec 18 15:59:35 GMT 2012


Dear colleagues,
             I have a question about the Cryst and CrystCat packages in Gap.
             Is it possible to classify a given (and legitimate)
AffineCrystGroupOnRight  G according to standard nomenclature?
             Of course, I have a 4-dimensional example (whose point group
is SymmetricGroup(4)). I would like to know where it fits into the  Brown...Zassenhaus
classification. On the other hand, since this is really just for my own curiosity,  I don't
much want to have to read that book more carefully. It is a bit daunting.

             I understand my G quite well. Besides the faithful affine representation I have
a nice presentation and a further geometric interpretation. G is the so-called
monodromy group of the pyramid over an apeirogon (infinite sided polygon).

Thanks,
Barry.



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