On 26/05/2018 06:24, Travis Scrimshaw wrote:
MatrixGroups are immutable and their comparison is by checking the
generators (and not isomorphism), which are essentially the construction
parameters (in reality, they are the corresponding GAP group). For
permutation groups, the equality seems to be isomorphism. So there is no
problem for MatrixGroups being UniqueRepresentation in terms of behavior.

And IMHO this is a problem: https://trac.sagemath.org/ticket/24535

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