On 2015-08-12 19:14, Volker Braun wrote:
"==" isn't used in any group theory textbook to my knowledge... Of course group-equality should be a method, all I'm saying is that naming it __eq__() really badly interacts with associative containers.
To be clear, this isn't about comparing groups, but about comparing elements of the same(?) group. Most certainly, textbooks use == (with this, I really mean $=$) to compare elements of a group. It's like comparing 6/3 with 4/2, you really want those to be equal.
For comparing groups, I agree that __eq__ should compare construction/presentation and not be an isomorphism test.
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