[GAP Forum] MinimalGeneratingSet

[Jon Cohen]

Hi all,

I think there is a bug with the MinimalGeneratingSet method (I am
running GAP 4.4.4 and have installed the latest bugfix).

It does not seem to handle nonsolvable permutation groups:

gap> MinimalGeneratingSet(SymmetricGroup(4));
[ (2,4,3), (1,4,2,3) ]

Is fine, but:

gap> MinimalGeneratingSet(SymmetricGroup(5));

gives an error. A quick look shows that the grpperm.gi code calls the
grppcatr.gi MinimalGeneratingSet method only when the input group is
solvable.

Jon