Patch is here:
https://github.com/martinbaker/fricasAlgTop/blob/master/permgrps1.patch
File is here:
https://github.com/martinbaker/fricasAlgTop/blob/master/permgrps.spad

It is used like this:

permgp := dihedralGroup(3)$PermutationGroupExamples

   (1)  <(1 2 3),(1 3)>
                                Type: PermutationGroup(Integer)
permgp::GroupPresentation

   (2)
   <a b |
a*a*a, a*a*b*a*a*b, a*a*b*a*a*-b, a*b*a*b, a*b*a*-b, b*b, a*a*b*-a*b
    ,
        a*b*-a*-a*b, b*a*a*-b*-a, a*a*b*-a*-b, a*a*-b*a*a*-b, a*-b*a*-b
     >
                                        Type: GroupPresentation

As discussed before, improvements to simplification in GroupPresentation would be good but that is not part of this code.

Martin B

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