Dear Johannes, Thanks for the report. This is indeed unfortunate. I opened the following ticket
https://trac.sagemath.org/ticket/31236 Best Vincent Le 14/01/2021 à 11:31, Johannes Schwab a écrit :
Dear all, the current implementation of __hash__ for PermutationGroupElement returns a hash that not only depends on the given permutation, but also on the group the permutation lives in. Thus the "same" permutation (when compared with __eq__) may have different hash values, which is not in line with the Python documentation ( https://docs.python.org/3.5/reference/datamodel.html#object.__hash__) and leads to unexpected situations as the following. sage: G = SymmetricGroup(2) sage: H = SymmetricGroup(1) sage: d = {G.one() : "FooBaa"} sage: H.one() in list(d.keys()) True sage: H.one() in d False Best, Johannes Schwab
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